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Simplifying 5[12 + -1(3 + -3a) + -2a] = 2(1 + -1a) 5[12 + (3 * -1 + -3a * -1) + -2a] = 2(1 + -1a) 5[12 + (-3 + 3a) + -2a] = 2(1 + -1a) Combine like terms: 12 + -3 = 9 5[9 + 3a + -2a] = 2(1 + -1a) Combine like terms: 3a + -2a = 1a 5[9 + 1a] = 2(1 + -1a) [9 * 5 + 1a * 5] = 2(1 + -1a) [45 + 5a] = 2(1 + -1a) 45 + 5a = (1 * 2 + -1a * 2) 45 + 5a = (2 + -2a) Solving 45 + 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. 45 + 5a + 2a = 2 + -2a + 2a Combine like terms: 5a + 2a = 7a 45 + 7a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 45 + 7a = 2 + 0 45 + 7a = 2 Add '-45' to each side of the equation. 45 + -45 + 7a = 2 + -45 Combine like terms: 45 + -45 = 0 0 + 7a = 2 + -45 7a = 2 + -45 Combine like terms: 2 + -45 = -43 7a = -43 Divide each side by '7'. a = -6.142857143 Simplifying a = -6.142857143
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