-8(z-9)=3-7z

Solution for -8(z-9)=3-7z equation:

Simplifying
-8(z + -9) = 3 + -7z

Reorder the terms:
-8(-9 + z) = 3 + -7z
(-9 * -8 + z * -8) = 3 + -7z
(72 + -8z) = 3 + -7z

Solving
72 + -8z = 3 + -7z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '7z' to each side of the equation.
72 + -8z + 7z = 3 + -7z + 7z

Combine like terms: -8z + 7z = -1z
72 + -1z = 3 + -7z + 7z

Combine like terms: -7z + 7z = 0
72 + -1z = 3 + 0
72 + -1z = 3

Add '-72' to each side of the equation.
72 + -72 + -1z = 3 + -72

Combine like terms: 72 + -72 = 0
0 + -1z = 3 + -72
-1z = 3 + -72

Combine like terms: 3 + -72 = -69
-1z = -69

Divide each side by '-1'.
z = 69

Simplifying
z = 69