24.5=-9.5+7.5(z+5.5)

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Solution for 24.5=-9.5+7.5(z+5.5) equation:


Simplifying
24.5 = -9.5 + 7.5(z + 5.5)

Reorder the terms:
24.5 = -9.5 + 7.5(5.5 + z)
24.5 = -9.5 + (5.5 * 7.5 + z * 7.5)
24.5 = -9.5 + (41.25 + 7.5z)

Combine like terms: -9.5 + 41.25 = 31.75
24.5 = 31.75 + 7.5z

Solving
24.5 = 31.75 + 7.5z

Solving for variable 'z'.

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

Add '-7.5z' to each side of the equation.
24.5 + -7.5z = 31.75 + 7.5z + -7.5z

Combine like terms: 7.5z + -7.5z = 0.0
24.5 + -7.5z = 31.75 + 0.0
24.5 + -7.5z = 31.75

Add '-24.5' to each side of the equation.
24.5 + -24.5 + -7.5z = 31.75 + -24.5

Combine like terms: 24.5 + -24.5 = 0.0
0.0 + -7.5z = 31.75 + -24.5
-7.5z = 31.75 + -24.5

Combine like terms: 31.75 + -24.5 = 7.25
-7.5z = 7.25

Divide each side by '-7.5'.
z = -0.9666666667

Simplifying
z = -0.9666666667

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