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Simplifying 6(3m + -4) = 5(2m + 6) Reorder the terms: 6(-4 + 3m) = 5(2m + 6) (-4 * 6 + 3m * 6) = 5(2m + 6) (-24 + 18m) = 5(2m + 6) Reorder the terms: -24 + 18m = 5(6 + 2m) -24 + 18m = (6 * 5 + 2m * 5) -24 + 18m = (30 + 10m) Solving -24 + 18m = 30 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -24 + 18m + -10m = 30 + 10m + -10m Combine like terms: 18m + -10m = 8m -24 + 8m = 30 + 10m + -10m Combine like terms: 10m + -10m = 0 -24 + 8m = 30 + 0 -24 + 8m = 30 Add '24' to each side of the equation. -24 + 24 + 8m = 30 + 24 Combine like terms: -24 + 24 = 0 0 + 8m = 30 + 24 8m = 30 + 24 Combine like terms: 30 + 24 = 54 8m = 54 Divide each side by '8'. m = 6.75 Simplifying m = 6.75
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