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Simplifying 3 + -2m + 8 = -5m + -10 Reorder the terms: 3 + 8 + -2m = -5m + -10 Combine like terms: 3 + 8 = 11 11 + -2m = -5m + -10 Reorder the terms: 11 + -2m = -10 + -5m Solving 11 + -2m = -10 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 11 + -2m + 5m = -10 + -5m + 5m Combine like terms: -2m + 5m = 3m 11 + 3m = -10 + -5m + 5m Combine like terms: -5m + 5m = 0 11 + 3m = -10 + 0 11 + 3m = -10 Add '-11' to each side of the equation. 11 + -11 + 3m = -10 + -11 Combine like terms: 11 + -11 = 0 0 + 3m = -10 + -11 3m = -10 + -11 Combine like terms: -10 + -11 = -21 3m = -21 Divide each side by '3'. m = -7 Simplifying m = -7
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