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Simplifying 8 + -2(a + -1) = 7 + 1 Reorder the terms: 8 + -2(-1 + a) = 7 + 1 8 + (-1 * -2 + a * -2) = 7 + 1 8 + (2 + -2a) = 7 + 1 Combine like terms: 8 + 2 = 10 10 + -2a = 7 + 1 Combine like terms: 7 + 1 = 8 10 + -2a = 8 Solving 10 + -2a = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2a = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -2a = 8 + -10 -2a = 8 + -10 Combine like terms: 8 + -10 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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