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Simplifying 39 = 0.5(6)(a + 5) Reorder the terms: 39 = 0.5 * 6(5 + a) Multiply 0.5 * 6 39 = 3(5 + a) 39 = (5 * 3 + a * 3) 39 = (15 + 3a) Solving 39 = 15 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 39 + -3a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 39 + -3a = 15 + 0 39 + -3a = 15 Add '-39' to each side of the equation. 39 + -39 + -3a = 15 + -39 Combine like terms: 39 + -39 = 0 0 + -3a = 15 + -39 -3a = 15 + -39 Combine like terms: 15 + -39 = -24 -3a = -24 Divide each side by '-3'. a = 8 Simplifying a = 8
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