9-6(z+6)=-(-9z+8)-3

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Solution for 9-6(z+6)=-(-9z+8)-3 equation:


Simplifying
9 + -6(z + 6) = -1(-9z + 8) + -3

Reorder the terms:
9 + -6(6 + z) = -1(-9z + 8) + -3
9 + (6 * -6 + z * -6) = -1(-9z + 8) + -3
9 + (-36 + -6z) = -1(-9z + 8) + -3

Combine like terms: 9 + -36 = -27
-27 + -6z = -1(-9z + 8) + -3

Reorder the terms:
-27 + -6z = -1(8 + -9z) + -3
-27 + -6z = (8 * -1 + -9z * -1) + -3
-27 + -6z = (-8 + 9z) + -3

Reorder the terms:
-27 + -6z = -8 + -3 + 9z

Combine like terms: -8 + -3 = -11
-27 + -6z = -11 + 9z

Solving
-27 + -6z = -11 + 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.
-27 + -6z + -9z = -11 + 9z + -9z

Combine like terms: -6z + -9z = -15z
-27 + -15z = -11 + 9z + -9z

Combine like terms: 9z + -9z = 0
-27 + -15z = -11 + 0
-27 + -15z = -11

Add '27' to each side of the equation.
-27 + 27 + -15z = -11 + 27

Combine like terms: -27 + 27 = 0
0 + -15z = -11 + 27
-15z = -11 + 27

Combine like terms: -11 + 27 = 16
-15z = 16

Divide each side by '-15'.
z = -1.066666667

Simplifying
z = -1.066666667

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