117=-3(1+5n)

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Solution for 117=-3(1+5n) equation:


Simplifying
117 = -3(1 + 5n)
117 = (1 * -3 + 5n * -3)
117 = (-3 + -15n)

Solving
117 = -3 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
117 + 15n = -3 + -15n + 15n

Combine like terms: -15n + 15n = 0
117 + 15n = -3 + 0
117 + 15n = -3

Add '-117' to each side of the equation.
117 + -117 + 15n = -3 + -117

Combine like terms: 117 + -117 = 0
0 + 15n = -3 + -117
15n = -3 + -117

Combine like terms: -3 + -117 = -120
15n = -120

Divide each side by '15'.
n = -8

Simplifying
n = -8

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