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Simplifying -3(-1 + -5a) = -117 (-1 * -3 + -5a * -3) = -117 (3 + 15a) = -117 Solving 3 + 15a = -117 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 15a = -117 + -3 Combine like terms: 3 + -3 = 0 0 + 15a = -117 + -3 15a = -117 + -3 Combine like terms: -117 + -3 = -120 15a = -120 Divide each side by '15'. a = -8 Simplifying a = -8
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