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Simplifying 6 + -8(a + 1) = 7 + a Reorder the terms: 6 + -8(1 + a) = 7 + a 6 + (1 * -8 + a * -8) = 7 + a 6 + (-8 + -8a) = 7 + a Combine like terms: 6 + -8 = -2 -2 + -8a = 7 + a Solving -2 + -8a = 7 + 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. -2 + -8a + -1a = 7 + a + -1a Combine like terms: -8a + -1a = -9a -2 + -9a = 7 + a + -1a Combine like terms: a + -1a = 0 -2 + -9a = 7 + 0 -2 + -9a = 7 Add '2' to each side of the equation. -2 + 2 + -9a = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -9a = 7 + 2 -9a = 7 + 2 Combine like terms: 7 + 2 = 9 -9a = 9 Divide each side by '-9'. a = -1 Simplifying a = -1
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