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Simplifying 7 + -2(a + -1) = 6 + a Reorder the terms: 7 + -2(-1 + a) = 6 + a 7 + (-1 * -2 + a * -2) = 6 + a 7 + (2 + -2a) = 6 + a Combine like terms: 7 + 2 = 9 9 + -2a = 6 + a Solving 9 + -2a = 6 + 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. 9 + -2a + -1a = 6 + a + -1a Combine like terms: -2a + -1a = -3a 9 + -3a = 6 + a + -1a Combine like terms: a + -1a = 0 9 + -3a = 6 + 0 9 + -3a = 6 Add '-9' to each side of the equation. 9 + -9 + -3a = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -3a = 6 + -9 -3a = 6 + -9 Combine like terms: 6 + -9 = -3 -3a = -3 Divide each side by '-3'. a = 1 Simplifying a = 1
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