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Simplifying 175m + -100m + 42750 = 45450 + -150m Reorder the terms: 42750 + 175m + -100m = 45450 + -150m Combine like terms: 175m + -100m = 75m 42750 + 75m = 45450 + -150m Solving 42750 + 75m = 45450 + -150m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '150m' to each side of the equation. 42750 + 75m + 150m = 45450 + -150m + 150m Combine like terms: 75m + 150m = 225m 42750 + 225m = 45450 + -150m + 150m Combine like terms: -150m + 150m = 0 42750 + 225m = 45450 + 0 42750 + 225m = 45450 Add '-42750' to each side of the equation. 42750 + -42750 + 225m = 45450 + -42750 Combine like terms: 42750 + -42750 = 0 0 + 225m = 45450 + -42750 225m = 45450 + -42750 Combine like terms: 45450 + -42750 = 2700 225m = 2700 Divide each side by '225'. m = 12 Simplifying m = 12
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