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 = 61.25
23.5 = 61.25 + 8.5z

Solving
23.5 = 61.25 + 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 = 61.25 + 8.5z + -8.5z

Combine like terms: 8.5z + -8.5z = 0.0
23.5 + -8.5z = 61.25 + 0.0
23.5 + -8.5z = 61.25

Add '-23.5' to each side of the equation.
23.5 + -23.5 + -8.5z = 61.25 + -23.5

Combine like terms: 23.5 + -23.5 = 0.0
0.0 + -8.5z = 61.25 + -23.5
-8.5z = 61.25 + -23.5

Combine like terms: 61.25 + -23.5 = 37.75
-8.5z = 37.75

Divide each side by '-8.5'.
z = -4.441176471

Simplifying
z = -4.441176471

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