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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 = 15 15 + -7a = 9 + a Solving 15 + -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. 15 + -7a + -1a = 9 + a + -1a Combine like terms: -7a + -1a = -8a 15 + -8a = 9 + a + -1a Combine like terms: a + -1a = 0 15 + -8a = 9 + 0 15 + -8a = 9 Add '-15' to each side of the equation. 15 + -15 + -8a = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -8a = 9 + -15 -8a = 9 + -15 Combine like terms: 9 + -15 = -6 -8a = -6 Divide each side by '-8'. a = 0.75 Simplifying a = 0.75
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