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