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Simplifying 8 + -1(a + 1) = 9 + a Reorder the terms: 8 + -1(1 + a) = 9 + a 8 + (1 * -1 + a * -1) = 9 + a 8 + (-1 + -1a) = 9 + a Combine like terms: 8 + -1 = 7 7 + -1a = 9 + a Solving 7 + -1a = 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. 7 + -1a + -1a = 9 + a + -1a Combine like terms: -1a + -1a = -2a 7 + -2a = 9 + a + -1a Combine like terms: a + -1a = 0 7 + -2a = 9 + 0 7 + -2a = 9 Add '-7' to each side of the equation. 7 + -7 + -2a = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 9 + -7 -2a = 9 + -7 Combine like terms: 9 + -7 = 2 -2a = 2 Divide each side by '-2'. a = -1 Simplifying a = -1
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