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Simplifying 1 + 3(2 + -4a) = a + 12 1 + (2 * 3 + -4a * 3) = a + 12 1 + (6 + -12a) = a + 12 Combine like terms: 1 + 6 = 7 7 + -12a = a + 12 Reorder the terms: 7 + -12a = 12 + a Solving 7 + -12a = 12 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 7 + -12a + -1a = 12 + a + -1a Combine like terms: -12a + -1a = -13a 7 + -13a = 12 + a + -1a Combine like terms: a + -1a = 0 7 + -13a = 12 + 0 7 + -13a = 12 Add '-7' to each side of the equation. 7 + -7 + -13a = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -13a = 12 + -7 -13a = 12 + -7 Combine like terms: 12 + -7 = 5 -13a = 5 Divide each side by '-13'. a = -0.3846153846 Simplifying a = -0.3846153846
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