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Simplifying 2m + -7 = 3m + 24 Reorder the terms: -7 + 2m = 3m + 24 Reorder the terms: -7 + 2m = 24 + 3m Solving -7 + 2m = 24 + 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. -7 + 2m + -3m = 24 + 3m + -3m Combine like terms: 2m + -3m = -1m -7 + -1m = 24 + 3m + -3m Combine like terms: 3m + -3m = 0 -7 + -1m = 24 + 0 -7 + -1m = 24 Add '7' to each side of the equation. -7 + 7 + -1m = 24 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 24 + 7 -1m = 24 + 7 Combine like terms: 24 + 7 = 31 -1m = 31 Divide each side by '-1'. m = -31 Simplifying m = -31
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