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Simplifying 40m + 25 = 35(m + 1) Reorder the terms: 25 + 40m = 35(m + 1) Reorder the terms: 25 + 40m = 35(1 + m) 25 + 40m = (1 * 35 + m * 35) 25 + 40m = (35 + 35m) Solving 25 + 40m = 35 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. 25 + 40m + -35m = 35 + 35m + -35m Combine like terms: 40m + -35m = 5m 25 + 5m = 35 + 35m + -35m Combine like terms: 35m + -35m = 0 25 + 5m = 35 + 0 25 + 5m = 35 Add '-25' to each side of the equation. 25 + -25 + 5m = 35 + -25 Combine like terms: 25 + -25 = 0 0 + 5m = 35 + -25 5m = 35 + -25 Combine like terms: 35 + -25 = 10 5m = 10 Divide each side by '5'. m = 2 Simplifying m = 2
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