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Simplifying -18 + -1 + 29 + -41 = -5 + -2m + -7 + 3m Combine like terms: -18 + -1 = -19 -19 + 29 + -41 = -5 + -2m + -7 + 3m Combine like terms: -19 + 29 = 10 10 + -41 = -5 + -2m + -7 + 3m Combine like terms: 10 + -41 = -31 -31 = -5 + -2m + -7 + 3m Reorder the terms: -31 = -5 + -7 + -2m + 3m Combine like terms: -5 + -7 = -12 -31 = -12 + -2m + 3m Combine like terms: -2m + 3m = 1m -31 = -12 + 1m Solving -31 = -12 + 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 = -12 + 1m + -1m Combine like terms: 1m + -1m = 0 -31 + -1m = -12 + 0 -31 + -1m = -12 Add '31' to each side of the equation. -31 + 31 + -1m = -12 + 31 Combine like terms: -31 + 31 = 0 0 + -1m = -12 + 31 -1m = -12 + 31 Combine like terms: -12 + 31 = 19 -1m = 19 Divide each side by '-1'. m = -19 Simplifying m = -19
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