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Solve for m, n, o, p, q, r, s, t, u, v, w, x, y, z
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12m+8-5\left(6m-1\right)=9\left(m-8\right)-6\left(7m-4\right)
Consider the first equation. Use the distributive property to multiply 4 by 3m+2.
12m+8-30m+5=9\left(m-8\right)-6\left(7m-4\right)
Use the distributive property to multiply -5 by 6m-1.
-18m+8+5=9\left(m-8\right)-6\left(7m-4\right)
Combine 12m and -30m to get -18m.
-18m+13=9\left(m-8\right)-6\left(7m-4\right)
Add 8 and 5 to get 13.
-18m+13=9m-72-6\left(7m-4\right)
Use the distributive property to multiply 9 by m-8.
-18m+13=9m-72-42m+24
Use the distributive property to multiply -6 by 7m-4.
-18m+13=-33m-72+24
Combine 9m and -42m to get -33m.
-18m+13=-33m-48
Add -72 and 24 to get -48.
-18m+13+33m=-48
Add 33m to both sides.
15m+13=-48
Combine -18m and 33m to get 15m.
15m=-48-13
Subtract 13 from both sides.
15m=-61
Subtract 13 from -48 to get -61.
m=-\frac{61}{15}
Divide both sides by 15.
n=4\left(-\frac{61}{15}\right)
Consider the second equation. Insert the known values of variables into the equation.
n=-\frac{244}{15}
Multiply 4 and -\frac{61}{15} to get -\frac{244}{15}.
o=-\frac{244}{15}
Consider the third equation. Insert the known values of variables into the equation.
p=-\frac{244}{15}
Consider the fourth equation. Insert the known values of variables into the equation.
q=-\frac{244}{15}
Consider the fifth equation. Insert the known values of variables into the equation.
r=-\frac{244}{15}
Consider the equation (6). Insert the known values of variables into the equation.
s=-\frac{244}{15}
Consider the equation (7). Insert the known values of variables into the equation.
t=-\frac{244}{15}
Consider the equation (8). Insert the known values of variables into the equation.
u=-\frac{244}{15}
Consider the equation (9). Insert the known values of variables into the equation.
v=-\frac{244}{15}
Consider the equation (10). Insert the known values of variables into the equation.
w=-\frac{244}{15}
Consider the equation (11). Insert the known values of variables into the equation.
x=-\frac{244}{15}
Consider the equation (12). Insert the known values of variables into the equation.
y=-\frac{244}{15}
Consider the equation (13). Insert the known values of variables into the equation.
z=-\frac{244}{15}
Consider the equation (14). Insert the known values of variables into the equation.
m=-\frac{61}{15} n=-\frac{244}{15} o=-\frac{244}{15} p=-\frac{244}{15} q=-\frac{244}{15} r=-\frac{244}{15} s=-\frac{244}{15} t=-\frac{244}{15} u=-\frac{244}{15} v=-\frac{244}{15} w=-\frac{244}{15} x=-\frac{244}{15} y=-\frac{244}{15} z=-\frac{244}{15}
The system is now solved.