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Simplifying 7 + 2m + -3 = 9m + 20 + -5m Reorder the terms: 7 + -3 + 2m = 9m + 20 + -5m Combine like terms: 7 + -3 = 4 4 + 2m = 9m + 20 + -5m Reorder the terms: 4 + 2m = 20 + 9m + -5m Combine like terms: 9m + -5m = 4m 4 + 2m = 20 + 4m Solving 4 + 2m = 20 + 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. 4 + 2m + -4m = 20 + 4m + -4m Combine like terms: 2m + -4m = -2m 4 + -2m = 20 + 4m + -4m Combine like terms: 4m + -4m = 0 4 + -2m = 20 + 0 4 + -2m = 20 Add '-4' to each side of the equation. 4 + -4 + -2m = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -2m = 20 + -4 -2m = 20 + -4 Combine like terms: 20 + -4 = 16 -2m = 16 Divide each side by '-2'. m = -8 Simplifying m = -8
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