Solve {l}{-8+2{(5m-8)}+3{(m+2)}=12+4{(2m-1)}}{n=5}{text{Solvefor}otext{where}}{o=n}

$$\left. \begin{array} { l } { -8 + 2 {(5 m - 8)} + 3 {(m + 2)} = 12 + 4 {(2 m - 1)} }\\ { n = 5 }\\ { \text{Solve for } o \text{ where} } \\ { o = n } \end{array} \right.$$

Solve for m, n, o

$$o=5$$

Solution Steps

Consider the first equation. Use the distributive property to multiply 2 by 5m-8.

$$-8+10m-16+3\left(m+2\right)=12+4\left(2m-1\right)$$

Subtract 16 from -8 to get -24.

$$-24+10m+3\left(m+2\right)=12+4\left(2m-1\right)$$

Use the distributive property to multiply 3 by m+2.

$$-24+10m+3m+6=12+4\left(2m-1\right)$$

Combine 10m and 3m to get 13m.

$$-24+13m+6=12+4\left(2m-1\right)$$

Add -24 and 6 to get -18.

$$-18+13m=12+4\left(2m-1\right)$$

Use the distributive property to multiply 4 by 2m-1.

$$-18+13m=12+8m-4$$

Subtract 4 from 12 to get 8.

$$-18+13m=8+8m$$

Subtract 8m from both sides.

$$-18+13m-8m=8$$

Combine 13m and -8m to get 5m.

$$-18+5m=8$$

Add 18 to both sides.

$$5m=8+18$$

Add 8 and 18 to get 26.

$$5m=26$$

Divide both sides by 5.

$$m=\frac{26}{5}$$

The system is now solved.

$$m=\frac{26}{5} n=5 o=5$$