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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 = -114 -15a = -114 Divide each side by '-15'. a = 7.6 Simplifying a = 7.6
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