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Simplifying 5 + 3m + -3 = 7m + 12 + -2m Reorder the terms: 5 + -3 + 3m = 7m + 12 + -2m Combine like terms: 5 + -3 = 2 2 + 3m = 7m + 12 + -2m Reorder the terms: 2 + 3m = 12 + 7m + -2m Combine like terms: 7m + -2m = 5m 2 + 3m = 12 + 5m Solving 2 + 3m = 12 + 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. 2 + 3m + -5m = 12 + 5m + -5m Combine like terms: 3m + -5m = -2m 2 + -2m = 12 + 5m + -5m Combine like terms: 5m + -5m = 0 2 + -2m = 12 + 0 2 + -2m = 12 Add '-2' to each side of the equation. 2 + -2 + -2m = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2m = 12 + -2 -2m = 12 + -2 Combine like terms: 12 + -2 = 10 -2m = 10 Divide each side by '-2'. m = -5 Simplifying m = -5
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