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Simplifying -3(a + -5) = -1(8a + 3) + -2 Reorder the terms: -3(-5 + a) = -1(8a + 3) + -2 (-5 * -3 + a * -3) = -1(8a + 3) + -2 (15 + -3a) = -1(8a + 3) + -2 Reorder the terms: 15 + -3a = -1(3 + 8a) + -2 15 + -3a = (3 * -1 + 8a * -1) + -2 15 + -3a = (-3 + -8a) + -2 Reorder the terms: 15 + -3a = -3 + -2 + -8a Combine like terms: -3 + -2 = -5 15 + -3a = -5 + -8a Solving 15 + -3a = -5 + -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 = -5 + -8a + 8a Combine like terms: -3a + 8a = 5a 15 + 5a = -5 + -8a + 8a Combine like terms: -8a + 8a = 0 15 + 5a = -5 + 0 15 + 5a = -5 Add '-15' to each side of the equation. 15 + -15 + 5a = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 5a = -5 + -15 5a = -5 + -15 Combine like terms: -5 + -15 = -20 5a = -20 Divide each side by '5'. a = -4 Simplifying a = -4
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