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Simplifying 5[12 + -1(6 + -3a)] + -2a = 2(1 + -1a) 5[12 + (6 * -1 + -3a * -1)] + -2a = 2(1 + -1a) 5[12 + (-6 + 3a)] + -2a = 2(1 + -1a) Combine like terms: 12 + -6 = 6 5[6 + 3a] + -2a = 2(1 + -1a) [6 * 5 + 3a * 5] + -2a = 2(1 + -1a) [30 + 15a] + -2a = 2(1 + -1a) Combine like terms: 15a + -2a = 13a 30 + 13a = 2(1 + -1a) 30 + 13a = (1 * 2 + -1a * 2) 30 + 13a = (2 + -2a) Solving 30 + 13a = 2 + -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. 30 + 13a + 2a = 2 + -2a + 2a Combine like terms: 13a + 2a = 15a 30 + 15a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 30 + 15a = 2 + 0 30 + 15a = 2 Add '-30' to each side of the equation. 30 + -30 + 15a = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 15a = 2 + -30 15a = 2 + -30 Combine like terms: 2 + -30 = -28 15a = -28 Divide each side by '15'. a = -1.866666667 Simplifying a = -1.866666667
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