117=9(5z+3)

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Solution for 117=9(5z+3) equation:


Simplifying
117 = 9(5z + 3)

Reorder the terms:
117 = 9(3 + 5z)
117 = (3 * 9 + 5z * 9)
117 = (27 + 45z)

Solving
117 = 27 + 45z

Solving for variable 'z'.

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

Add '-45z' to each side of the equation.
117 + -45z = 27 + 45z + -45z

Combine like terms: 45z + -45z = 0
117 + -45z = 27 + 0
117 + -45z = 27

Add '-117' to each side of the equation.
117 + -117 + -45z = 27 + -117

Combine like terms: 117 + -117 = 0
0 + -45z = 27 + -117
-45z = 27 + -117

Combine like terms: 27 + -117 = -90
-45z = -90

Divide each side by '-45'.
z = 2

Simplifying
z = 2

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