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Simplifying 4.2m + 5 = 3m + 7 Reorder the terms: 5 + 4.2m = 3m + 7 Reorder the terms: 5 + 4.2m = 7 + 3m Solving 5 + 4.2m = 7 + 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. 5 + 4.2m + -3m = 7 + 3m + -3m Combine like terms: 4.2m + -3m = 1.2m 5 + 1.2m = 7 + 3m + -3m Combine like terms: 3m + -3m = 0 5 + 1.2m = 7 + 0 5 + 1.2m = 7 Add '-5' to each side of the equation. 5 + -5 + 1.2m = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 1.2m = 7 + -5 1.2m = 7 + -5 Combine like terms: 7 + -5 = 2 1.2m = 2 Divide each side by '1.2'. m = 1.666666667 Simplifying m = 1.666666667
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