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Simplifying 12 + -3(a + 1) = 3 + a Reorder the terms: 12 + -3(1 + a) = 3 + a 12 + (1 * -3 + a * -3) = 3 + a 12 + (-3 + -3a) = 3 + a Combine like terms: 12 + -3 = 9 9 + -3a = 3 + a Solving 9 + -3a = 3 + 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. 9 + -3a + -1a = 3 + a + -1a Combine like terms: -3a + -1a = -4a 9 + -4a = 3 + a + -1a Combine like terms: a + -1a = 0 9 + -4a = 3 + 0 9 + -4a = 3 Add '-9' to each side of the equation. 9 + -9 + -4a = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = 3 + -9 -4a = 3 + -9 Combine like terms: 3 + -9 = -6 -4a = -6 Divide each side by '-4'. a = 1.5 Simplifying a = 1.5
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