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Simplifying 5(2m + -4) = 2(6m + 2) Reorder the terms: 5(-4 + 2m) = 2(6m + 2) (-4 * 5 + 2m * 5) = 2(6m + 2) (-20 + 10m) = 2(6m + 2) Reorder the terms: -20 + 10m = 2(2 + 6m) -20 + 10m = (2 * 2 + 6m * 2) -20 + 10m = (4 + 12m) Solving -20 + 10m = 4 + 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. -20 + 10m + -12m = 4 + 12m + -12m Combine like terms: 10m + -12m = -2m -20 + -2m = 4 + 12m + -12m Combine like terms: 12m + -12m = 0 -20 + -2m = 4 + 0 -20 + -2m = 4 Add '20' to each side of the equation. -20 + 20 + -2m = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -2m = 4 + 20 -2m = 4 + 20 Combine like terms: 4 + 20 = 24 -2m = 24 Divide each side by '-2'. m = -12 Simplifying m = -12
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