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Simplifying 12 + -2(a + -1) = 8 + a Reorder the terms: 12 + -2(-1 + a) = 8 + a 12 + (-1 * -2 + a * -2) = 8 + a 12 + (2 + -2a) = 8 + a Combine like terms: 12 + 2 = 14 14 + -2a = 8 + a Solving 14 + -2a = 8 + 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. 14 + -2a + -1a = 8 + a + -1a Combine like terms: -2a + -1a = -3a 14 + -3a = 8 + a + -1a Combine like terms: a + -1a = 0 14 + -3a = 8 + 0 14 + -3a = 8 Add '-14' to each side of the equation. 14 + -14 + -3a = 8 + -14 Combine like terms: 14 + -14 = 0 0 + -3a = 8 + -14 -3a = 8 + -14 Combine like terms: 8 + -14 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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