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Simplifying 3m + 40 = 5 + -2m Reorder the terms: 40 + 3m = 5 + -2m Solving 40 + 3m = 5 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 40 + 3m + 2m = 5 + -2m + 2m Combine like terms: 3m + 2m = 5m 40 + 5m = 5 + -2m + 2m Combine like terms: -2m + 2m = 0 40 + 5m = 5 + 0 40 + 5m = 5 Add '-40' to each side of the equation. 40 + -40 + 5m = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 5m = 5 + -40 5m = 5 + -40 Combine like terms: 5 + -40 = -35 5m = -35 Divide each side by '5'. m = -7 Simplifying m = -7
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