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Simplifying 4m + 42 = 9m + -3 Reorder the terms: 42 + 4m = 9m + -3 Reorder the terms: 42 + 4m = -3 + 9m Solving 42 + 4m = -3 + 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. 42 + 4m + -9m = -3 + 9m + -9m Combine like terms: 4m + -9m = -5m 42 + -5m = -3 + 9m + -9m Combine like terms: 9m + -9m = 0 42 + -5m = -3 + 0 42 + -5m = -3 Add '-42' to each side of the equation. 42 + -42 + -5m = -3 + -42 Combine like terms: 42 + -42 = 0 0 + -5m = -3 + -42 -5m = -3 + -42 Combine like terms: -3 + -42 = -45 -5m = -45 Divide each side by '-5'. m = 9 Simplifying m = 9
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