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Simplifying 7m + 4 = 4m + 31 Reorder the terms: 4 + 7m = 4m + 31 Reorder the terms: 4 + 7m = 31 + 4m Solving 4 + 7m = 31 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 4 + 7m + -4m = 31 + 4m + -4m Combine like terms: 7m + -4m = 3m 4 + 3m = 31 + 4m + -4m Combine like terms: 4m + -4m = 0 4 + 3m = 31 + 0 4 + 3m = 31 Add '-4' to each side of the equation. 4 + -4 + 3m = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 3m = 31 + -4 3m = 31 + -4 Combine like terms: 31 + -4 = 27 3m = 27 Divide each side by '3'. m = 9 Simplifying m = 9
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