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Simplifying 3m + 31 = 8m + -4 Reorder the terms: 31 + 3m = 8m + -4 Reorder the terms: 31 + 3m = -4 + 8m Solving 31 + 3m = -4 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 31 + 3m + -8m = -4 + 8m + -8m Combine like terms: 3m + -8m = -5m 31 + -5m = -4 + 8m + -8m Combine like terms: 8m + -8m = 0 31 + -5m = -4 + 0 31 + -5m = -4 Add '-31' to each side of the equation. 31 + -31 + -5m = -4 + -31 Combine like terms: 31 + -31 = 0 0 + -5m = -4 + -31 -5m = -4 + -31 Combine like terms: -4 + -31 = -35 -5m = -35 Divide each side by '-5'. m = 7 Simplifying m = 7
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