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Simplifying 5(2m + -1) = 31 + 4m Reorder the terms: 5(-1 + 2m) = 31 + 4m (-1 * 5 + 2m * 5) = 31 + 4m (-5 + 10m) = 31 + 4m Solving -5 + 10m = 31 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -5 + 10m + -4m = 31 + 4m + -4m Combine like terms: 10m + -4m = 6m -5 + 6m = 31 + 4m + -4m Combine like terms: 4m + -4m = 0 -5 + 6m = 31 + 0 -5 + 6m = 31 Add '5' to each side of the equation. -5 + 5 + 6m = 31 + 5 Combine like terms: -5 + 5 = 0 0 + 6m = 31 + 5 6m = 31 + 5 Combine like terms: 31 + 5 = 36 6m = 36 Divide each side by '6'. m = 6 Simplifying m = 6
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