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Simplifying 3 + 2m + -1 = 5m + -2 + 3m Reorder the terms: 3 + -1 + 2m = 5m + -2 + 3m Combine like terms: 3 + -1 = 2 2 + 2m = 5m + -2 + 3m Reorder the terms: 2 + 2m = -2 + 5m + 3m Combine like terms: 5m + 3m = 8m 2 + 2m = -2 + 8m Solving 2 + 2m = -2 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 2 + 2m + -8m = -2 + 8m + -8m Combine like terms: 2m + -8m = -6m 2 + -6m = -2 + 8m + -8m Combine like terms: 8m + -8m = 0 2 + -6m = -2 + 0 2 + -6m = -2 Add '-2' to each side of the equation. 2 + -2 + -6m = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -6m = -2 + -2 -6m = -2 + -2 Combine like terms: -2 + -2 = -4 -6m = -4 Divide each side by '-6'. m = 0.6666666667 Simplifying m = 0.6666666667
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