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