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Simplifying 9(3m + -2) = 6(-8m + 3) Reorder the terms: 9(-2 + 3m) = 6(-8m + 3) (-2 * 9 + 3m * 9) = 6(-8m + 3) (-18 + 27m) = 6(-8m + 3) Reorder the terms: -18 + 27m = 6(3 + -8m) -18 + 27m = (3 * 6 + -8m * 6) -18 + 27m = (18 + -48m) Solving -18 + 27m = 18 + -48m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '48m' to each side of the equation. -18 + 27m + 48m = 18 + -48m + 48m Combine like terms: 27m + 48m = 75m -18 + 75m = 18 + -48m + 48m Combine like terms: -48m + 48m = 0 -18 + 75m = 18 + 0 -18 + 75m = 18 Add '18' to each side of the equation. -18 + 18 + 75m = 18 + 18 Combine like terms: -18 + 18 = 0 0 + 75m = 18 + 18 75m = 18 + 18 Combine like terms: 18 + 18 = 36 75m = 36 Divide each side by '75'. m = 0.48 Simplifying m = 0.48
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