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Simplifying 8 + -3(a + -1) = 7 + a Reorder the terms: 8 + -3(-1 + a) = 7 + a 8 + (-1 * -3 + a * -3) = 7 + a 8 + (3 + -3a) = 7 + a Combine like terms: 8 + 3 = 11 11 + -3a = 7 + a Solving 11 + -3a = 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. 11 + -3a + -1a = 7 + a + -1a Combine like terms: -3a + -1a = -4a 11 + -4a = 7 + a + -1a Combine like terms: a + -1a = 0 11 + -4a = 7 + 0 11 + -4a = 7 Add '-11' to each side of the equation. 11 + -11 + -4a = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -4a = 7 + -11 -4a = 7 + -11 Combine like terms: 7 + -11 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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