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Simplifying 5[12 + -1(6 + -3a) + -2a] = (1 + -1a) 5[12 + (6 * -1 + -3a * -1) + -2a] = (1 + -1a) 5[12 + (-6 + 3a) + -2a] = (1 + -1a) Combine like terms: 12 + -6 = 6 5[6 + 3a + -2a] = (1 + -1a) Combine like terms: 3a + -2a = 1a 5[6 + 1a] = (1 + -1a) [6 * 5 + 1a * 5] = (1 + -1a) [30 + 5a] = (1 + -1a) Remove parenthesis around (1 + -1a) 30 + 5a = 1 + -1a Solving 30 + 5a = 1 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 30 + 5a + a = 1 + -1a + a Combine like terms: 5a + a = 6a 30 + 6a = 1 + -1a + a Combine like terms: -1a + a = 0 30 + 6a = 1 + 0 30 + 6a = 1 Add '-30' to each side of the equation. 30 + -30 + 6a = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 6a = 1 + -30 6a = 1 + -30 Combine like terms: 1 + -30 = -29 6a = -29 Divide each side by '6'. a = -4.833333333 Simplifying a = -4.833333333
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