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Simplifying 12 + -3(a + -15) = 10 + 5(5 + -1a) Reorder the terms: 12 + -3(-15 + a) = 10 + 5(5 + -1a) 12 + (-15 * -3 + a * -3) = 10 + 5(5 + -1a) 12 + (45 + -3a) = 10 + 5(5 + -1a) Combine like terms: 12 + 45 = 57 57 + -3a = 10 + 5(5 + -1a) 57 + -3a = 10 + (5 * 5 + -1a * 5) 57 + -3a = 10 + (25 + -5a) Combine like terms: 10 + 25 = 35 57 + -3a = 35 + -5a Solving 57 + -3a = 35 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 57 + -3a + 5a = 35 + -5a + 5a Combine like terms: -3a + 5a = 2a 57 + 2a = 35 + -5a + 5a Combine like terms: -5a + 5a = 0 57 + 2a = 35 + 0 57 + 2a = 35 Add '-57' to each side of the equation. 57 + -57 + 2a = 35 + -57 Combine like terms: 57 + -57 = 0 0 + 2a = 35 + -57 2a = 35 + -57 Combine like terms: 35 + -57 = -22 2a = -22 Divide each side by '2'. a = -11 Simplifying a = -11
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