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Simplifying 6[12 + -1(6 + -3a) + -2a] = 2(1 + -1a) 6[12 + (6 * -1 + -3a * -1) + -2a] = 2(1 + -1a) 6[12 + (-6 + 3a) + -2a] = 2(1 + -1a) Combine like terms: 12 + -6 = 6 6[6 + 3a + -2a] = 2(1 + -1a) Combine like terms: 3a + -2a = 1a 6[6 + 1a] = 2(1 + -1a) [6 * 6 + 1a * 6] = 2(1 + -1a) [36 + 6a] = 2(1 + -1a) 36 + 6a = (1 * 2 + -1a * 2) 36 + 6a = (2 + -2a) Solving 36 + 6a = 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. 36 + 6a + 2a = 2 + -2a + 2a Combine like terms: 6a + 2a = 8a 36 + 8a = 2 + -2a + 2a Combine like terms: -2a + 2a = 0 36 + 8a = 2 + 0 36 + 8a = 2 Add '-36' to each side of the equation. 36 + -36 + 8a = 2 + -36 Combine like terms: 36 + -36 = 0 0 + 8a = 2 + -36 8a = 2 + -36 Combine like terms: 2 + -36 = -34 8a = -34 Divide each side by '8'. a = -4.25 Simplifying a = -4.25
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