-7(z-1)-(-8z-5)=-9

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Solution for -7(z-1)-(-8z-5)=-9 equation:


Simplifying
-7(z + -1) + -1(-8z + -5) = -9

Reorder the terms:
-7(-1 + z) + -1(-8z + -5) = -9
(-1 * -7 + z * -7) + -1(-8z + -5) = -9
(7 + -7z) + -1(-8z + -5) = -9

Reorder the terms:
7 + -7z + -1(-5 + -8z) = -9
7 + -7z + (-5 * -1 + -8z * -1) = -9
7 + -7z + (5 + 8z) = -9

Reorder the terms:
7 + 5 + -7z + 8z = -9

Combine like terms: 7 + 5 = 12
12 + -7z + 8z = -9

Combine like terms: -7z + 8z = 1z
12 + 1z = -9

Solving
12 + 1z = -9

Solving for variable 'z'.

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

Add '-12' to each side of the equation.
12 + -12 + 1z = -9 + -12

Combine like terms: 12 + -12 = 0
0 + 1z = -9 + -12
1z = -9 + -12

Combine like terms: -9 + -12 = -21
1z = -21

Divide each side by '1'.
z = -21

Simplifying
z = -21

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