8(z-1)-(9-8z)=15z

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Solution for 8(z-1)-(9-8z)=15z equation:


Simplifying
8(z + -1) + -1(9 + -8z) = 15z

Reorder the terms:
8(-1 + z) + -1(9 + -8z) = 15z
(-1 * 8 + z * 8) + -1(9 + -8z) = 15z
(-8 + 8z) + -1(9 + -8z) = 15z
-8 + 8z + (9 * -1 + -8z * -1) = 15z
-8 + 8z + (-9 + 8z) = 15z

Reorder the terms:
-8 + -9 + 8z + 8z = 15z

Combine like terms: -8 + -9 = -17
-17 + 8z + 8z = 15z

Combine like terms: 8z + 8z = 16z
-17 + 16z = 15z

Solving
-17 + 16z = 15z

Solving for variable 'z'.

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

Add '-15z' to each side of the equation.
-17 + 16z + -15z = 15z + -15z

Combine like terms: 16z + -15z = 1z
-17 + 1z = 15z + -15z

Combine like terms: 15z + -15z = 0
-17 + 1z = 0

Add '17' to each side of the equation.
-17 + 17 + 1z = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 1z = 0 + 17
1z = 0 + 17

Combine like terms: 0 + 17 = 17
1z = 17

Divide each side by '1'.
z = 17

Simplifying
z = 17

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