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Simplifying 0.5(18m + -16) = 3(2m + 4) Reorder the terms: 0.5(-16 + 18m) = 3(2m + 4) (-16 * 0.5 + 18m * 0.5) = 3(2m + 4) (-8 + 9m) = 3(2m + 4) Reorder the terms: -8 + 9m = 3(4 + 2m) -8 + 9m = (4 * 3 + 2m * 3) -8 + 9m = (12 + 6m) Solving -8 + 9m = 12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -8 + 9m + -6m = 12 + 6m + -6m Combine like terms: 9m + -6m = 3m -8 + 3m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 -8 + 3m = 12 + 0 -8 + 3m = 12 Add '8' to each side of the equation. -8 + 8 + 3m = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 3m = 12 + 8 3m = 12 + 8 Combine like terms: 12 + 8 = 20 3m = 20 Divide each side by '3'. m = 6.666666667 Simplifying m = 6.666666667
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