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Simplifying 4m + -2 = 5m + 7 Reorder the terms: -2 + 4m = 5m + 7 Reorder the terms: -2 + 4m = 7 + 5m Solving -2 + 4m = 7 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -2 + 4m + -5m = 7 + 5m + -5m Combine like terms: 4m + -5m = -1m -2 + -1m = 7 + 5m + -5m Combine like terms: 5m + -5m = 0 -2 + -1m = 7 + 0 -2 + -1m = 7 Add '2' to each side of the equation. -2 + 2 + -1m = 7 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 7 + 2 -1m = 7 + 2 Combine like terms: 7 + 2 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9
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