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Simplifying 9 + -3(a + -1) = 8 + a Reorder the terms: 9 + -3(-1 + a) = 8 + a 9 + (-1 * -3 + a * -3) = 8 + a 9 + (3 + -3a) = 8 + a Combine like terms: 9 + 3 = 12 12 + -3a = 8 + a Solving 12 + -3a = 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. 12 + -3a + -1a = 8 + a + -1a Combine like terms: -3a + -1a = -4a 12 + -4a = 8 + a + -1a Combine like terms: a + -1a = 0 12 + -4a = 8 + 0 12 + -4a = 8 Add '-12' to each side of the equation. 12 + -12 + -4a = 8 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = 8 + -12 -4a = 8 + -12 Combine like terms: 8 + -12 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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