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