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Simplifying 4m + 43 = 9m + -2 Reorder the terms: 43 + 4m = 9m + -2 Reorder the terms: 43 + 4m = -2 + 9m Solving 43 + 4m = -2 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 43 + 4m + -9m = -2 + 9m + -9m Combine like terms: 4m + -9m = -5m 43 + -5m = -2 + 9m + -9m Combine like terms: 9m + -9m = 0 43 + -5m = -2 + 0 43 + -5m = -2 Add '-43' to each side of the equation. 43 + -43 + -5m = -2 + -43 Combine like terms: 43 + -43 = 0 0 + -5m = -2 + -43 -5m = -2 + -43 Combine like terms: -2 + -43 = -45 -5m = -45 Divide each side by '-5'. m = 9 Simplifying m = 9
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