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Simplifying 3(2m + -4) = 5(m + 2) Reorder the terms: 3(-4 + 2m) = 5(m + 2) (-4 * 3 + 2m * 3) = 5(m + 2) (-12 + 6m) = 5(m + 2) Reorder the terms: -12 + 6m = 5(2 + m) -12 + 6m = (2 * 5 + m * 5) -12 + 6m = (10 + 5m) Solving -12 + 6m = 10 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -12 + 6m + -5m = 10 + 5m + -5m Combine like terms: 6m + -5m = 1m -12 + 1m = 10 + 5m + -5m Combine like terms: 5m + -5m = 0 -12 + 1m = 10 + 0 -12 + 1m = 10 Add '12' to each side of the equation. -12 + 12 + 1m = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 1m = 10 + 12 1m = 10 + 12 Combine like terms: 10 + 12 = 22 1m = 22 Divide each side by '1'. m = 22 Simplifying m = 22
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