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Simplifying 9(4a + -2) = 12(2t + 6) Reorder the terms: 9(-2 + 4a) = 12(2t + 6) (-2 * 9 + 4a * 9) = 12(2t + 6) (-18 + 36a) = 12(2t + 6) Reorder the terms: -18 + 36a = 12(6 + 2t) -18 + 36a = (6 * 12 + 2t * 12) -18 + 36a = (72 + 24t) Solving -18 + 36a = 72 + 24t Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 36a = 72 + 18 + 24t Combine like terms: -18 + 18 = 0 0 + 36a = 72 + 18 + 24t 36a = 72 + 18 + 24t Combine like terms: 72 + 18 = 90 36a = 90 + 24t Divide each side by '36'. a = 2.5 + 0.6666666667t Simplifying a = 2.5 + 0.6666666667t
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