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Simplifying 1 + -2(a + -1) = 7 + a Reorder the terms: 1 + -2(-1 + a) = 7 + a 1 + (-1 * -2 + a * -2) = 7 + a 1 + (2 + -2a) = 7 + a Combine like terms: 1 + 2 = 3 3 + -2a = 7 + a Solving 3 + -2a = 7 + 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. 3 + -2a + -1a = 7 + a + -1a Combine like terms: -2a + -1a = -3a 3 + -3a = 7 + a + -1a Combine like terms: a + -1a = 0 3 + -3a = 7 + 0 3 + -3a = 7 Add '-3' to each side of the equation. 3 + -3 + -3a = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -3a = 7 + -3 -3a = 7 + -3 Combine like terms: 7 + -3 = 4 -3a = 4 Divide each side by '-3'. a = -1.333333333 Simplifying a = -1.333333333
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