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Simplifying 2(3m + -4) = 5(m + 7) Reorder the terms: 2(-4 + 3m) = 5(m + 7) (-4 * 2 + 3m * 2) = 5(m + 7) (-8 + 6m) = 5(m + 7) Reorder the terms: -8 + 6m = 5(7 + m) -8 + 6m = (7 * 5 + m * 5) -8 + 6m = (35 + 5m) Solving -8 + 6m = 35 + 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. -8 + 6m + -5m = 35 + 5m + -5m Combine like terms: 6m + -5m = 1m -8 + 1m = 35 + 5m + -5m Combine like terms: 5m + -5m = 0 -8 + 1m = 35 + 0 -8 + 1m = 35 Add '8' to each side of the equation. -8 + 8 + 1m = 35 + 8 Combine like terms: -8 + 8 = 0 0 + 1m = 35 + 8 1m = 35 + 8 Combine like terms: 35 + 8 = 43 1m = 43 Divide each side by '1'. m = 43 Simplifying m = 43
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