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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) Combine like terms: 3a + -2a = 1a 5[6 + 1a] = -2(1 + -1a) [6 * 5 + 1a * 5] = -2(1 + -1a) [30 + 5a] = -2(1 + -1a) 30 + 5a = (1 * -2 + -1a * -2) 30 + 5a = (-2 + 2a) Solving 30 + 5a = -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 + 5a + -2a = -2 + 2a + -2a Combine like terms: 5a + -2a = 3a 30 + 3a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 30 + 3a = -2 + 0 30 + 3a = -2 Add '-30' to each side of the equation. 30 + -30 + 3a = -2 + -30 Combine like terms: 30 + -30 = 0 0 + 3a = -2 + -30 3a = -2 + -30 Combine like terms: -2 + -30 = -32 3a = -32 Divide each side by '3'. a = -10.66666667 Simplifying a = -10.66666667
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