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Simplifying 2(4a + -12) + 39 = 6a + 1 Reorder the terms: 2(-12 + 4a) + 39 = 6a + 1 (-12 * 2 + 4a * 2) + 39 = 6a + 1 (-24 + 8a) + 39 = 6a + 1 Reorder the terms: -24 + 39 + 8a = 6a + 1 Combine like terms: -24 + 39 = 15 15 + 8a = 6a + 1 Reorder the terms: 15 + 8a = 1 + 6a Solving 15 + 8a = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 15 + 8a + -6a = 1 + 6a + -6a Combine like terms: 8a + -6a = 2a 15 + 2a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 15 + 2a = 1 + 0 15 + 2a = 1 Add '-15' to each side of the equation. 15 + -15 + 2a = 1 + -15 Combine like terms: 15 + -15 = 0 0 + 2a = 1 + -15 2a = 1 + -15 Combine like terms: 1 + -15 = -14 2a = -14 Divide each side by '2'. a = -7 Simplifying a = -7
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