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Simplifying -18 + -2 + 29 + -40 = -3 + -2m + -5 + 3m Combine like terms: -18 + -2 = -20 -20 + 29 + -40 = -3 + -2m + -5 + 3m Combine like terms: -20 + 29 = 9 9 + -40 = -3 + -2m + -5 + 3m Combine like terms: 9 + -40 = -31 -31 = -3 + -2m + -5 + 3m Reorder the terms: -31 = -3 + -5 + -2m + 3m Combine like terms: -3 + -5 = -8 -31 = -8 + -2m + 3m Combine like terms: -2m + 3m = 1m -31 = -8 + 1m Solving -31 = -8 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -31 + -1m = -8 + 1m + -1m Combine like terms: 1m + -1m = 0 -31 + -1m = -8 + 0 -31 + -1m = -8 Add '31' to each side of the equation. -31 + 31 + -1m = -8 + 31 Combine like terms: -31 + 31 = 0 0 + -1m = -8 + 31 -1m = -8 + 31 Combine like terms: -8 + 31 = 23 -1m = 23 Divide each side by '-1'. m = -23 Simplifying m = -23
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