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Simplifying 5 + 7m + -1 = 7m + 40 + -4m Reorder the terms: 5 + -1 + 7m = 7m + 40 + -4m Combine like terms: 5 + -1 = 4 4 + 7m = 7m + 40 + -4m Reorder the terms: 4 + 7m = 40 + 7m + -4m Combine like terms: 7m + -4m = 3m 4 + 7m = 40 + 3m Solving 4 + 7m = 40 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 4 + 7m + -3m = 40 + 3m + -3m Combine like terms: 7m + -3m = 4m 4 + 4m = 40 + 3m + -3m Combine like terms: 3m + -3m = 0 4 + 4m = 40 + 0 4 + 4m = 40 Add '-4' to each side of the equation. 4 + -4 + 4m = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 4m = 40 + -4 4m = 40 + -4 Combine like terms: 40 + -4 = 36 4m = 36 Divide each side by '4'. m = 9 Simplifying m = 9
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