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Simplifying 4m + 31 = 7m + 1 Reorder the terms: 31 + 4m = 7m + 1 Reorder the terms: 31 + 4m = 1 + 7m Solving 31 + 4m = 1 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 31 + 4m + -7m = 1 + 7m + -7m Combine like terms: 4m + -7m = -3m 31 + -3m = 1 + 7m + -7m Combine like terms: 7m + -7m = 0 31 + -3m = 1 + 0 31 + -3m = 1 Add '-31' to each side of the equation. 31 + -31 + -3m = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -3m = 1 + -31 -3m = 1 + -31 Combine like terms: 1 + -31 = -30 -3m = -30 Divide each side by '-3'. m = 10 Simplifying m = 10
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