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Simplifying 15 + 3a = 8(a + 5) Reorder the terms: 15 + 3a = 8(5 + a) 15 + 3a = (5 * 8 + a * 8) 15 + 3a = (40 + 8a) Solving 15 + 3a = 40 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 15 + 3a + -8a = 40 + 8a + -8a Combine like terms: 3a + -8a = -5a 15 + -5a = 40 + 8a + -8a Combine like terms: 8a + -8a = 0 15 + -5a = 40 + 0 15 + -5a = 40 Add '-15' to each side of the equation. 15 + -15 + -5a = 40 + -15 Combine like terms: 15 + -15 = 0 0 + -5a = 40 + -15 -5a = 40 + -15 Combine like terms: 40 + -15 = 25 -5a = 25 Divide each side by '-5'. a = -5 Simplifying a = -5
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