7(z+9)-(-2z-5)=8z

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Solution for 7(z+9)-(-2z-5)=8z equation: 


Simplifying
7(z + 9) + -1(-2z + -5) = 8z

Reorder the terms:
7(9 + z) + -1(-2z + -5) = 8z
(9 * 7 + z * 7) + -1(-2z + -5) = 8z
(63 + 7z) + -1(-2z + -5) = 8z

Reorder the terms:
63 + 7z + -1(-5 + -2z) = 8z
63 + 7z + (-5 * -1 + -2z * -1) = 8z
63 + 7z + (5 + 2z) = 8z

Reorder the terms:
63 + 5 + 7z + 2z = 8z

Combine like terms: 63 + 5 = 68
68 + 7z + 2z = 8z

Combine like terms: 7z + 2z = 9z
68 + 9z = 8z

Solving
68 + 9z = 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
68 + 9z + -8z = 8z + -8z

Combine like terms: 9z + -8z = 1z
68 + 1z = 8z + -8z

Combine like terms: 8z + -8z = 0
68 + 1z = 0

Add '-68' to each side of the equation.
68 + -68 + 1z = 0 + -68

Combine like terms: 68 + -68 = 0
0 + 1z = 0 + -68
1z = 0 + -68

Combine like terms: 0 + -68 = -68
1z = -68

Divide each side by '1'.
z = -68

Simplifying
z = -68

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