-23.5=6+8.5(z-6.5)

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Solution for -23.5=6+8.5(z-6.5) equation: 


Simplifying
-23.5 = 6 + 8.5(z + -6.5)

Reorder the terms:
-23.5 = 6 + 8.5(-6.5 + z)
-23.5 = 6 + (-6.5 * 8.5 + z * 8.5)
-23.5 = 6 + (-55.25 + 8.5z)

Combine like terms: 6 + -55.25 = -49.25
-23.5 = -49.25 + 8.5z

Solving
-23.5 = -49.25 + 8.5z

Solving for variable 'z'.

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

Add '-8.5z' to each side of the equation.
-23.5 + -8.5z = -49.25 + 8.5z + -8.5z

Combine like terms: 8.5z + -8.5z = 0.0
-23.5 + -8.5z = -49.25 + 0.0
-23.5 + -8.5z = -49.25

Add '23.5' to each side of the equation.
-23.5 + 23.5 + -8.5z = -49.25 + 23.5

Combine like terms: -23.5 + 23.5 = 0.0
0.0 + -8.5z = -49.25 + 23.5
-8.5z = -49.25 + 23.5

Combine like terms: -49.25 + 23.5 = -25.75
-8.5z = -25.75

Divide each side by '-8.5'.
z = 3.029411765

Simplifying
z = 3.029411765

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