Solve for z
z=-12
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3\times 2-9\times 3z+3\times 5z=-8z+54
Multiply both sides of the equation by 18, the least common multiple of 6,2,9.
6-9\times 3z+3\times 5z=-8z+54
Multiply 3 and 2 to get 6.
6-27z+3\times 5z=-8z+54
Multiply -9 and 3 to get -27.
6-27z+15z=-8z+54
Multiply 3 and 5 to get 15.
6-12z=-8z+54
Combine -27z and 15z to get -12z.
6-12z+8z=54
Add 8z to both sides.
6-4z=54
Combine -12z and 8z to get -4z.
-4z=54-6
Subtract 6 from both sides.
-4z=48
Subtract 6 from 54 to get 48.
z=\frac{48}{-4}
Divide both sides by -4.
z=-12
Divide 48 by -4 to get -12.
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