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Simplifying -3(a + -5) = 2(a + 10) Reorder the terms: -3(-5 + a) = 2(a + 10) (-5 * -3 + a * -3) = 2(a + 10) (15 + -3a) = 2(a + 10) Reorder the terms: 15 + -3a = 2(10 + a) 15 + -3a = (10 * 2 + a * 2) 15 + -3a = (20 + 2a) Solving 15 + -3a = 20 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 15 + -3a + -2a = 20 + 2a + -2a Combine like terms: -3a + -2a = -5a 15 + -5a = 20 + 2a + -2a Combine like terms: 2a + -2a = 0 15 + -5a = 20 + 0 15 + -5a = 20 Add '-15' to each side of the equation. 15 + -15 + -5a = 20 + -15 Combine like terms: 15 + -15 = 0 0 + -5a = 20 + -15 -5a = 20 + -15 Combine like terms: 20 + -15 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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