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Simplifying 3(a + 12) = 8 + -4d Reorder the terms: 3(12 + a) = 8 + -4d (12 * 3 + a * 3) = 8 + -4d (36 + 3a) = 8 + -4d Solving 36 + 3a = 8 + -4d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 3a = 8 + -36 + -4d Combine like terms: 36 + -36 = 0 0 + 3a = 8 + -36 + -4d 3a = 8 + -36 + -4d Combine like terms: 8 + -36 = -28 3a = -28 + -4d Divide each side by '3'. a = -9.333333333 + -1.333333333d Simplifying a = -9.333333333 + -1.333333333d
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