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Simplifying -3(a + -5) = -6(a + 4) Reorder the terms: -3(-5 + a) = -6(a + 4) (-5 * -3 + a * -3) = -6(a + 4) (15 + -3a) = -6(a + 4) Reorder the terms: 15 + -3a = -6(4 + a) 15 + -3a = (4 * -6 + a * -6) 15 + -3a = (-24 + -6a) Solving 15 + -3a = -24 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 15 + -3a + 6a = -24 + -6a + 6a Combine like terms: -3a + 6a = 3a 15 + 3a = -24 + -6a + 6a Combine like terms: -6a + 6a = 0 15 + 3a = -24 + 0 15 + 3a = -24 Add '-15' to each side of the equation. 15 + -15 + 3a = -24 + -15 Combine like terms: 15 + -15 = 0 0 + 3a = -24 + -15 3a = -24 + -15 Combine like terms: -24 + -15 = -39 3a = -39 Divide each side by '3'. a = -13 Simplifying a = -13
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