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Simplifying 0.7m + 35 = 0.4m + 50 Reorder the terms: 35 + 0.7m = 0.4m + 50 Reorder the terms: 35 + 0.7m = 50 + 0.4m Solving 35 + 0.7m = 50 + 0.4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-0.4m' to each side of the equation. 35 + 0.7m + -0.4m = 50 + 0.4m + -0.4m Combine like terms: 0.7m + -0.4m = 0.3m 35 + 0.3m = 50 + 0.4m + -0.4m Combine like terms: 0.4m + -0.4m = 0.0 35 + 0.3m = 50 + 0.0 35 + 0.3m = 50 Add '-35' to each side of the equation. 35 + -35 + 0.3m = 50 + -35 Combine like terms: 35 + -35 = 0 0 + 0.3m = 50 + -35 0.3m = 50 + -35 Combine like terms: 50 + -35 = 15 0.3m = 15 Divide each side by '0.3'. m = 50 Simplifying m = 50
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