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Simplifying 8 + -2(a + 1) = 9 + a Reorder the terms: 8 + -2(1 + a) = 9 + a 8 + (1 * -2 + a * -2) = 9 + a 8 + (-2 + -2a) = 9 + a Combine like terms: 8 + -2 = 6 6 + -2a = 9 + a Solving 6 + -2a = 9 + 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. 6 + -2a + -1a = 9 + a + -1a Combine like terms: -2a + -1a = -3a 6 + -3a = 9 + a + -1a Combine like terms: a + -1a = 0 6 + -3a = 9 + 0 6 + -3a = 9 Add '-6' to each side of the equation. 6 + -6 + -3a = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3a = 9 + -6 -3a = 9 + -6 Combine like terms: 9 + -6 = 3 -3a = 3 Divide each side by '-3'. a = -1 Simplifying a = -1
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