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