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Simplifying 9(4q + -2) = 12(3a + 8) Reorder the terms: 9(-2 + 4q) = 12(3a + 8) (-2 * 9 + 4q * 9) = 12(3a + 8) (-18 + 36q) = 12(3a + 8) Reorder the terms: -18 + 36q = 12(8 + 3a) -18 + 36q = (8 * 12 + 3a * 12) -18 + 36q = (96 + 36a) Solving -18 + 36q = 96 + 36a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 36q = 96 + 18 + 36a Combine like terms: -18 + 18 = 0 0 + 36q = 96 + 18 + 36a 36q = 96 + 18 + 36a Combine like terms: 96 + 18 = 114 36q = 114 + 36a Divide each side by '36'. q = 3.166666667 + a Simplifying q = 3.166666667 + a
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