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Simplifying 5[12 + -1(6 + -3a) + -2a] = 2(2 + -1a) 5[12 + (6 * -1 + -3a * -1) + -2a] = 2(2 + -1a) 5[12 + (-6 + 3a) + -2a] = 2(2 + -1a) Combine like terms: 12 + -6 = 6 5[6 + 3a + -2a] = 2(2 + -1a) Combine like terms: 3a + -2a = 1a 5[6 + 1a] = 2(2 + -1a) [6 * 5 + 1a * 5] = 2(2 + -1a) [30 + 5a] = 2(2 + -1a) 30 + 5a = (2 * 2 + -1a * 2) 30 + 5a = (4 + -2a) Solving 30 + 5a = 4 + -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 = 4 + -2a + 2a Combine like terms: 5a + 2a = 7a 30 + 7a = 4 + -2a + 2a Combine like terms: -2a + 2a = 0 30 + 7a = 4 + 0 30 + 7a = 4 Add '-30' to each side of the equation. 30 + -30 + 7a = 4 + -30 Combine like terms: 30 + -30 = 0 0 + 7a = 4 + -30 7a = 4 + -30 Combine like terms: 4 + -30 = -26 7a = -26 Divide each side by '7'. a = -3.714285714 Simplifying a = -3.714285714
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