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

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


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

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

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

Solving
27 + 9z = -3 + -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.
27 + 9z + 8z = -3 + -8z + 8z

Combine like terms: 9z + 8z = 17z
27 + 17z = -3 + -8z + 8z

Combine like terms: -8z + 8z = 0
27 + 17z = -3 + 0
27 + 17z = -3

Add '-27' to each side of the equation.
27 + -27 + 17z = -3 + -27

Combine like terms: 27 + -27 = 0
0 + 17z = -3 + -27
17z = -3 + -27

Combine like terms: -3 + -27 = -30
17z = -30

Divide each side by '17'.
z = -1.764705882

Simplifying
z = -1.764705882

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