8(z+7)-(-2z-2)=9z

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Solution for 8(z+7)-(-2z-2)=9z equation:


Simplifying
8(z + 7) + -1(-2z + -2) = 9z

Reorder the terms:
8(7 + z) + -1(-2z + -2) = 9z
(7 * 8 + z * 8) + -1(-2z + -2) = 9z
(56 + 8z) + -1(-2z + -2) = 9z

Reorder the terms:
56 + 8z + -1(-2 + -2z) = 9z
56 + 8z + (-2 * -1 + -2z * -1) = 9z
56 + 8z + (2 + 2z) = 9z

Reorder the terms:
56 + 2 + 8z + 2z = 9z

Combine like terms: 56 + 2 = 58
58 + 8z + 2z = 9z

Combine like terms: 8z + 2z = 10z
58 + 10z = 9z

Solving
58 + 10z = 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
58 + 10z + -9z = 9z + -9z

Combine like terms: 10z + -9z = 1z
58 + 1z = 9z + -9z

Combine like terms: 9z + -9z = 0
58 + 1z = 0

Add '-58' to each side of the equation.
58 + -58 + 1z = 0 + -58

Combine like terms: 58 + -58 = 0
0 + 1z = 0 + -58
1z = 0 + -58

Combine like terms: 0 + -58 = -58
1z = -58

Divide each side by '1'.
z = -58

Simplifying
z = -58

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