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Simplifying 8 + -5(a + 1) = 9 + a Reorder the terms: 8 + -5(1 + a) = 9 + a 8 + (1 * -5 + a * -5) = 9 + a 8 + (-5 + -5a) = 9 + a Combine like terms: 8 + -5 = 3 3 + -5a = 9 + a Solving 3 + -5a = 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. 3 + -5a + -1a = 9 + a + -1a Combine like terms: -5a + -1a = -6a 3 + -6a = 9 + a + -1a Combine like terms: a + -1a = 0 3 + -6a = 9 + 0 3 + -6a = 9 Add '-3' to each side of the equation. 3 + -3 + -6a = 9 + -3 Combine like terms: 3 + -3 = 0 0 + -6a = 9 + -3 -6a = 9 + -3 Combine like terms: 9 + -3 = 6 -6a = 6 Divide each side by '-6'. a = -1 Simplifying a = -1
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