117=-9(a-9)

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Solution for 117=-9(a-9) equation:


Simplifying
117 = -9(a + -9)

Reorder the terms:
117 = -9(-9 + a)
117 = (-9 * -9 + a * -9)
117 = (81 + -9a)

Solving
117 = 81 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
117 + 9a = 81 + -9a + 9a

Combine like terms: -9a + 9a = 0
117 + 9a = 81 + 0
117 + 9a = 81

Add '-117' to each side of the equation.
117 + -117 + 9a = 81 + -117

Combine like terms: 117 + -117 = 0
0 + 9a = 81 + -117
9a = 81 + -117

Combine like terms: 81 + -117 = -36
9a = -36

Divide each side by '9'.
a = -4

Simplifying
a = -4

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