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Simplifying 4 + 8m + -1 = 7m + 31 + -3m Reorder the terms: 4 + -1 + 8m = 7m + 31 + -3m Combine like terms: 4 + -1 = 3 3 + 8m = 7m + 31 + -3m Reorder the terms: 3 + 8m = 31 + 7m + -3m Combine like terms: 7m + -3m = 4m 3 + 8m = 31 + 4m Solving 3 + 8m = 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. 3 + 8m + -4m = 31 + 4m + -4m Combine like terms: 8m + -4m = 4m 3 + 4m = 31 + 4m + -4m Combine like terms: 4m + -4m = 0 3 + 4m = 31 + 0 3 + 4m = 31 Add '-3' to each side of the equation. 3 + -3 + 4m = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 31 + -3 4m = 31 + -3 Combine like terms: 31 + -3 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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