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Simplifying 9 + -2(a + 2) = 8 + a Reorder the terms: 9 + -2(2 + a) = 8 + a 9 + (2 * -2 + a * -2) = 8 + a 9 + (-4 + -2a) = 8 + a Combine like terms: 9 + -4 = 5 5 + -2a = 8 + a Solving 5 + -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. 5 + -2a + -1a = 8 + a + -1a Combine like terms: -2a + -1a = -3a 5 + -3a = 8 + a + -1a Combine like terms: a + -1a = 0 5 + -3a = 8 + 0 5 + -3a = 8 Add '-5' to each side of the equation. 5 + -5 + -3a = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -3a = 8 + -5 -3a = 8 + -5 Combine like terms: 8 + -5 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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