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Simplifying 40 = 7m + 5 + -2m Reorder the terms: 40 = 5 + 7m + -2m Combine like terms: 7m + -2m = 5m 40 = 5 + 5m Solving 40 = 5 + 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. 40 + -5m = 5 + 5m + -5m Combine like terms: 5m + -5m = 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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