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Simplifying 4 + -2(a + 1) = 8 + a Reorder the terms: 4 + -2(1 + a) = 8 + a 4 + (1 * -2 + a * -2) = 8 + a 4 + (-2 + -2a) = 8 + a Combine like terms: 4 + -2 = 2 2 + -2a = 8 + a Solving 2 + -2a = 8 + 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. 2 + -2a + -1a = 8 + a + -1a Combine like terms: -2a + -1a = -3a 2 + -3a = 8 + a + -1a Combine like terms: a + -1a = 0 2 + -3a = 8 + 0 2 + -3a = 8 Add '-2' to each side of the equation. 2 + -2 + -3a = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3a = 8 + -2 -3a = 8 + -2 Combine like terms: 8 + -2 = 6 -3a = 6 Divide each side by '-3'. a = -2 Simplifying a = -2
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