-17.5=3+5(z+9.5)

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Solution for -17.5=3+5(z+9.5) equation: 


Simplifying
-17.5 = 3 + 5(z + 9.5)

Reorder the terms:
-17.5 = 3 + 5(9.5 + z)
-17.5 = 3 + (9.5 * 5 + z * 5)
-17.5 = 3 + (47.5 + 5z)

Combine like terms: 3 + 47.5 = 50.5
-17.5 = 50.5 + 5z

Solving
-17.5 = 50.5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-17.5 + -5z = 50.5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-17.5 + -5z = 50.5 + 0
-17.5 + -5z = 50.5

Add '17.5' to each side of the equation.
-17.5 + 17.5 + -5z = 50.5 + 17.5

Combine like terms: -17.5 + 17.5 = 0.0
0.0 + -5z = 50.5 + 17.5
-5z = 50.5 + 17.5

Combine like terms: 50.5 + 17.5 = 68
-5z = 68

Divide each side by '-5'.
z = -13.6

Simplifying
z = -13.6

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