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Simplifying 8 + -2(a + -1) = 7 + a Reorder the terms: 8 + -2(-1 + a) = 7 + a 8 + (-1 * -2 + a * -2) = 7 + a 8 + (2 + -2a) = 7 + a Combine like terms: 8 + 2 = 10 10 + -2a = 7 + a Solving 10 + -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. 10 + -2a + -1a = 7 + a + -1a Combine like terms: -2a + -1a = -3a 10 + -3a = 7 + a + -1a Combine like terms: a + -1a = 0 10 + -3a = 7 + 0 10 + -3a = 7 Add '-10' to each side of the equation. 10 + -10 + -3a = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -3a = 7 + -10 -3a = 7 + -10 Combine like terms: 7 + -10 = -3 -3a = -3 Divide each side by '-3'. a = 1 Simplifying a = 1
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