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Simplifying 4m + 1 = 5m + -1 Reorder the terms: 1 + 4m = 5m + -1 Reorder the terms: 1 + 4m = -1 + 5m Solving 1 + 4m = -1 + 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. 1 + 4m + -5m = -1 + 5m + -5m Combine like terms: 4m + -5m = -1m 1 + -1m = -1 + 5m + -5m Combine like terms: 5m + -5m = 0 1 + -1m = -1 + 0 1 + -1m = -1 Add '-1' to each side of the equation. 1 + -1 + -1m = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -1m = -1 + -1 -1m = -1 + -1 Combine like terms: -1 + -1 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2
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