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Simplifying 3m + -8m + 11 + 4m = 21 + -2m + 3m Reorder the terms: 11 + 3m + -8m + 4m = 21 + -2m + 3m Combine like terms: 3m + -8m = -5m 11 + -5m + 4m = 21 + -2m + 3m Combine like terms: -5m + 4m = -1m 11 + -1m = 21 + -2m + 3m Combine like terms: -2m + 3m = 1m 11 + -1m = 21 + 1m Solving 11 + -1m = 21 + 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. 11 + -1m + -1m = 21 + 1m + -1m Combine like terms: -1m + -1m = -2m 11 + -2m = 21 + 1m + -1m Combine like terms: 1m + -1m = 0 11 + -2m = 21 + 0 11 + -2m = 21 Add '-11' to each side of the equation. 11 + -11 + -2m = 21 + -11 Combine like terms: 11 + -11 = 0 0 + -2m = 21 + -11 -2m = 21 + -11 Combine like terms: 21 + -11 = 10 -2m = 10 Divide each side by '-2'. m = -5 Simplifying m = -5
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