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Simplifying 12 + -3(a + -1) = 11 + a Reorder the terms: 12 + -3(-1 + a) = 11 + a 12 + (-1 * -3 + a * -3) = 11 + a 12 + (3 + -3a) = 11 + a Combine like terms: 12 + 3 = 15 15 + -3a = 11 + a Solving 15 + -3a = 11 + 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. 15 + -3a + -1a = 11 + a + -1a Combine like terms: -3a + -1a = -4a 15 + -4a = 11 + a + -1a Combine like terms: a + -1a = 0 15 + -4a = 11 + 0 15 + -4a = 11 Add '-15' to each side of the equation. 15 + -15 + -4a = 11 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = 11 + -15 -4a = 11 + -15 Combine like terms: 11 + -15 = -4 -4a = -4 Divide each side by '-4'. a = 1 Simplifying a = 1
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