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Simplifying 10m + 4(10 + -1m) = 46 + 4m 10m + (10 * 4 + -1m * 4) = 46 + 4m 10m + (40 + -4m) = 46 + 4m Reorder the terms: 40 + 10m + -4m = 46 + 4m Combine like terms: 10m + -4m = 6m 40 + 6m = 46 + 4m Solving 40 + 6m = 46 + 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. 40 + 6m + -4m = 46 + 4m + -4m Combine like terms: 6m + -4m = 2m 40 + 2m = 46 + 4m + -4m Combine like terms: 4m + -4m = 0 40 + 2m = 46 + 0 40 + 2m = 46 Add '-40' to each side of the equation. 40 + -40 + 2m = 46 + -40 Combine like terms: 40 + -40 = 0 0 + 2m = 46 + -40 2m = 46 + -40 Combine like terms: 46 + -40 = 6 2m = 6 Divide each side by '2'. m = 3 Simplifying m = 3
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