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Simplifying 3(2m + -1) = 5(m + 7) Reorder the terms: 3(-1 + 2m) = 5(m + 7) (-1 * 3 + 2m * 3) = 5(m + 7) (-3 + 6m) = 5(m + 7) Reorder the terms: -3 + 6m = 5(7 + m) -3 + 6m = (7 * 5 + m * 5) -3 + 6m = (35 + 5m) Solving -3 + 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. -3 + 6m + -5m = 35 + 5m + -5m Combine like terms: 6m + -5m = 1m -3 + 1m = 35 + 5m + -5m Combine like terms: 5m + -5m = 0 -3 + 1m = 35 + 0 -3 + 1m = 35 Add '3' to each side of the equation. -3 + 3 + 1m = 35 + 3 Combine like terms: -3 + 3 = 0 0 + 1m = 35 + 3 1m = 35 + 3 Combine like terms: 35 + 3 = 38 1m = 38 Divide each side by '1'. m = 38 Simplifying m = 38
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