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Simplifying 8 + 3m + -7 = 9m + 11 + -4m Reorder the terms: 8 + -7 + 3m = 9m + 11 + -4m Combine like terms: 8 + -7 = 1 1 + 3m = 9m + 11 + -4m Reorder the terms: 1 + 3m = 11 + 9m + -4m Combine like terms: 9m + -4m = 5m 1 + 3m = 11 + 5m Solving 1 + 3m = 11 + 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. 1 + 3m + -5m = 11 + 5m + -5m Combine like terms: 3m + -5m = -2m 1 + -2m = 11 + 5m + -5m Combine like terms: 5m + -5m = 0 1 + -2m = 11 + 0 1 + -2m = 11 Add '-1' to each side of the equation. 1 + -1 + -2m = 11 + -1 Combine like terms: 1 + -1 = 0 0 + -2m = 11 + -1 -2m = 11 + -1 Combine like terms: 11 + -1 = 10 -2m = 10 Divide each side by '-2'. m = -5 Simplifying m = -5
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