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Simplifying 6 + 3m + -4 = 9m + 9 + -5m Reorder the terms: 6 + -4 + 3m = 9m + 9 + -5m Combine like terms: 6 + -4 = 2 2 + 3m = 9m + 9 + -5m Reorder the terms: 2 + 3m = 9 + 9m + -5m Combine like terms: 9m + -5m = 4m 2 + 3m = 9 + 4m Solving 2 + 3m = 9 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 2 + 3m + -4m = 9 + 4m + -4m Combine like terms: 3m + -4m = -1m 2 + -1m = 9 + 4m + -4m Combine like terms: 4m + -4m = 0 2 + -1m = 9 + 0 2 + -1m = 9 Add '-2' to each side of the equation. 2 + -2 + -1m = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 9 + -2 -1m = 9 + -2 Combine like terms: 9 + -2 = 7 -1m = 7 Divide each side by '-1'. m = -7 Simplifying m = -7
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