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