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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) Add '-18' to each side of the equation. 18 + -18 + 27m = 18 + -18 + -48m Combine like terms: 18 + -18 = 0 0 + 27m = 18 + -18 + -48m 27m = 18 + -18 + -48m Combine like terms: 18 + -18 = 0 27m = 0 + -48m 27m = -48m Solving 27m = -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. 27m + 48m = -48m + 48m Combine like terms: 27m + 48m = 75m 75m = -48m + 48m Combine like terms: -48m + 48m = 0 75m = 0 Divide each side by '75'. m = 0 Simplifying m = 0
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