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Simplifying 3 + 4m = 10 + -2m Solving 3 + 4m = 10 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 3 + 4m + 2m = 10 + -2m + 2m Combine like terms: 4m + 2m = 6m 3 + 6m = 10 + -2m + 2m Combine like terms: -2m + 2m = 0 3 + 6m = 10 + 0 3 + 6m = 10 Add '-3' to each side of the equation. 3 + -3 + 6m = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 6m = 10 + -3 6m = 10 + -3 Combine like terms: 10 + -3 = 7 6m = 7 Divide each side by '6'. m = 1.166666667 Simplifying m = 1.166666667
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