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Simplifying 5(a + 3) = -1(4a + -6) + 1 Reorder the terms: 5(3 + a) = -1(4a + -6) + 1 (3 * 5 + a * 5) = -1(4a + -6) + 1 (15 + 5a) = -1(4a + -6) + 1 Reorder the terms: 15 + 5a = -1(-6 + 4a) + 1 15 + 5a = (-6 * -1 + 4a * -1) + 1 15 + 5a = (6 + -4a) + 1 Reorder the terms: 15 + 5a = 6 + 1 + -4a Combine like terms: 6 + 1 = 7 15 + 5a = 7 + -4a Solving 15 + 5a = 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 + 5a + 4a = 7 + -4a + 4a Combine like terms: 5a + 4a = 9a 15 + 9a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 15 + 9a = 7 + 0 15 + 9a = 7 Add '-15' to each side of the equation. 15 + -15 + 9a = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 9a = 7 + -15 9a = 7 + -15 Combine like terms: 7 + -15 = -8 9a = -8 Divide each side by '9'. a = -0.8888888889 Simplifying a = -0.8888888889
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