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Simplifying -4m + 9 = 31 + -3m Reorder the terms: 9 + -4m = 31 + -3m Solving 9 + -4m = 31 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 9 + -4m + 3m = 31 + -3m + 3m Combine like terms: -4m + 3m = -1m 9 + -1m = 31 + -3m + 3m Combine like terms: -3m + 3m = 0 9 + -1m = 31 + 0 9 + -1m = 31 Add '-9' to each side of the equation. 9 + -9 + -1m = 31 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 31 + -9 -1m = 31 + -9 Combine like terms: 31 + -9 = 22 -1m = 22 Divide each side by '-1'. m = -22 Simplifying m = -22
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