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Simplifying 15 = 3(a + 4) + -6(a + 1) Reorder the terms: 15 = 3(4 + a) + -6(a + 1) 15 = (4 * 3 + a * 3) + -6(a + 1) 15 = (12 + 3a) + -6(a + 1) Reorder the terms: 15 = 12 + 3a + -6(1 + a) 15 = 12 + 3a + (1 * -6 + a * -6) 15 = 12 + 3a + (-6 + -6a) Reorder the terms: 15 = 12 + -6 + 3a + -6a Combine like terms: 12 + -6 = 6 15 = 6 + 3a + -6a Combine like terms: 3a + -6a = -3a 15 = 6 + -3a Solving 15 = 6 + -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. 15 + 3a = 6 + -3a + 3a Combine like terms: -3a + 3a = 0 15 + 3a = 6 + 0 15 + 3a = 6 Add '-15' to each side of the equation. 15 + -15 + 3a = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = 6 + -15 3a = 6 + -15 Combine like terms: 6 + -15 = -9 3a = -9 Divide each side by '3'. a = -3 Simplifying a = -3
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