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Simplifying 7(3m + -4) = 20 + 5m Reorder the terms: 7(-4 + 3m) = 20 + 5m (-4 * 7 + 3m * 7) = 20 + 5m (-28 + 21m) = 20 + 5m Solving -28 + 21m = 20 + 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. -28 + 21m + -5m = 20 + 5m + -5m Combine like terms: 21m + -5m = 16m -28 + 16m = 20 + 5m + -5m Combine like terms: 5m + -5m = 0 -28 + 16m = 20 + 0 -28 + 16m = 20 Add '28' to each side of the equation. -28 + 28 + 16m = 20 + 28 Combine like terms: -28 + 28 = 0 0 + 16m = 20 + 28 16m = 20 + 28 Combine like terms: 20 + 28 = 48 16m = 48 Divide each side by '16'. m = 3 Simplifying m = 3
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