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Simplifying 3 + 8m + -2 = 8m + 41 + -5m Reorder the terms: 3 + -2 + 8m = 8m + 41 + -5m Combine like terms: 3 + -2 = 1 1 + 8m = 8m + 41 + -5m Reorder the terms: 1 + 8m = 41 + 8m + -5m Combine like terms: 8m + -5m = 3m 1 + 8m = 41 + 3m Solving 1 + 8m = 41 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 1 + 8m + -3m = 41 + 3m + -3m Combine like terms: 8m + -3m = 5m 1 + 5m = 41 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 5m = 41 + 0 1 + 5m = 41 Add '-1' to each side of the equation. 1 + -1 + 5m = 41 + -1 Combine like terms: 1 + -1 = 0 0 + 5m = 41 + -1 5m = 41 + -1 Combine like terms: 41 + -1 = 40 5m = 40 Divide each side by '5'. m = 8 Simplifying m = 8
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