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Simplifying 2(5m + -4) = 21 + -3m Reorder the terms: 2(-4 + 5m) = 21 + -3m (-4 * 2 + 5m * 2) = 21 + -3m (-8 + 10m) = 21 + -3m Solving -8 + 10m = 21 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -8 + 10m + 3m = 21 + -3m + 3m Combine like terms: 10m + 3m = 13m -8 + 13m = 21 + -3m + 3m Combine like terms: -3m + 3m = 0 -8 + 13m = 21 + 0 -8 + 13m = 21 Add '8' to each side of the equation. -8 + 8 + 13m = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 13m = 21 + 8 13m = 21 + 8 Combine like terms: 21 + 8 = 29 13m = 29 Divide each side by '13'. m = 2.230769231 Simplifying m = 2.230769231
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