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Simplifying 5(a + 3) + -1a = -1(4a + -6) + 1 Reorder the terms: 5(3 + a) + -1a = -1(4a + -6) + 1 (3 * 5 + a * 5) + -1a = -1(4a + -6) + 1 (15 + 5a) + -1a = -1(4a + -6) + 1 Combine like terms: 5a + -1a = 4a 15 + 4a = -1(4a + -6) + 1 Reorder the terms: 15 + 4a = -1(-6 + 4a) + 1 15 + 4a = (-6 * -1 + 4a * -1) + 1 15 + 4a = (6 + -4a) + 1 Reorder the terms: 15 + 4a = 6 + 1 + -4a Combine like terms: 6 + 1 = 7 15 + 4a = 7 + -4a Solving 15 + 4a = 7 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 15 + 4a + 4a = 7 + -4a + 4a Combine like terms: 4a + 4a = 8a 15 + 8a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + 8a = 7 + 0 15 + 8a = 7 Add '-15' to each side of the equation. 15 + -15 + 8a = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 8a = 7 + -15 8a = 7 + -15 Combine like terms: 7 + -15 = -8 8a = -8 Divide each side by '8'. a = -1 Simplifying a = -1
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