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Simplifying 15 = 3 + -1(a + 8) Reorder the terms: 15 = 3 + -1(8 + a) 15 = 3 + (8 * -1 + a * -1) 15 = 3 + (-8 + -1a) Combine like terms: 3 + -8 = -5 15 = -5 + -1a Solving 15 = -5 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 15 + a = -5 + -1a + a Combine like terms: -1a + a = 0 15 + a = -5 + 0 15 + a = -5 Add '-15' to each side of the equation. 15 + -15 + a = -5 + -15 Combine like terms: 15 + -15 = 0 0 + a = -5 + -15 a = -5 + -15 Combine like terms: -5 + -15 = -20 a = -20 Simplifying a = -20
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