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Simplifying 3m + 31 = 7m + -5 Reorder the terms: 31 + 3m = 7m + -5 Reorder the terms: 31 + 3m = -5 + 7m Solving 31 + 3m = -5 + 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 + 3m + -7m = -5 + 7m + -7m Combine like terms: 3m + -7m = -4m 31 + -4m = -5 + 7m + -7m Combine like terms: 7m + -7m = 0 31 + -4m = -5 + 0 31 + -4m = -5 Add '-31' to each side of the equation. 31 + -31 + -4m = -5 + -31 Combine like terms: 31 + -31 = 0 0 + -4m = -5 + -31 -4m = -5 + -31 Combine like terms: -5 + -31 = -36 -4m = -36 Divide each side by '-4'. m = 9 Simplifying m = 9
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