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Simplifying 5 + -2(a + -1) = 1 + a Reorder the terms: 5 + -2(-1 + a) = 1 + a 5 + (-1 * -2 + a * -2) = 1 + a 5 + (2 + -2a) = 1 + a Combine like terms: 5 + 2 = 7 7 + -2a = 1 + a Solving 7 + -2a = 1 + 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. 7 + -2a + -1a = 1 + a + -1a Combine like terms: -2a + -1a = -3a 7 + -3a = 1 + a + -1a Combine like terms: a + -1a = 0 7 + -3a = 1 + 0 7 + -3a = 1 Add '-7' to each side of the equation. 7 + -7 + -3a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 1 + -7 -3a = 1 + -7 Combine like terms: 1 + -7 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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