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Simplifying 5(12 + -1(6 + -3a) + -2a) = 2(1 + -8) 5(12 + (6 * -1 + -3a * -1) + -2a) = 2(1 + -8) 5(12 + (-6 + 3a) + -2a) = 2(1 + -8) Combine like terms: 12 + -6 = 6 5(6 + 3a + -2a) = 2(1 + -8) Combine like terms: 3a + -2a = 1a 5(6 + 1a) = 2(1 + -8) (6 * 5 + 1a * 5) = 2(1 + -8) (30 + 5a) = 2(1 + -8) Combine like terms: 1 + -8 = -7 30 + 5a = 2(-7) Multiply 2 * -7 30 + 5a = -14 Solving 30 + 5a = -14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 5a = -14 + -30 Combine like terms: 30 + -30 = 0 0 + 5a = -14 + -30 5a = -14 + -30 Combine like terms: -14 + -30 = -44 5a = -44 Divide each side by '5'. a = -8.8 Simplifying a = -8.8
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