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Simplifying 3m + -4m + 1 = 5m + 2 + 3 Reorder the terms: 1 + 3m + -4m = 5m + 2 + 3 Combine like terms: 3m + -4m = -1m 1 + -1m = 5m + 2 + 3 Reorder the terms: 1 + -1m = 2 + 3 + 5m Combine like terms: 2 + 3 = 5 1 + -1m = 5 + 5m Solving 1 + -1m = 5 + 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 + -1m + -5m = 5 + 5m + -5m Combine like terms: -1m + -5m = -6m 1 + -6m = 5 + 5m + -5m Combine like terms: 5m + -5m = 0 1 + -6m = 5 + 0 1 + -6m = 5 Add '-1' to each side of the equation. 1 + -1 + -6m = 5 + -1 Combine like terms: 1 + -1 = 0 0 + -6m = 5 + -1 -6m = 5 + -1 Combine like terms: 5 + -1 = 4 -6m = 4 Divide each side by '-6'. m = -0.6666666667 Simplifying m = -0.6666666667
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