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Simplifying 6 + 3m + -1 = 7m + 17 + -2m Reorder the terms: 6 + -1 + 3m = 7m + 17 + -2m Combine like terms: 6 + -1 = 5 5 + 3m = 7m + 17 + -2m Reorder the terms: 5 + 3m = 17 + 7m + -2m Combine like terms: 7m + -2m = 5m 5 + 3m = 17 + 5m Solving 5 + 3m = 17 + 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. 5 + 3m + -5m = 17 + 5m + -5m Combine like terms: 3m + -5m = -2m 5 + -2m = 17 + 5m + -5m Combine like terms: 5m + -5m = 0 5 + -2m = 17 + 0 5 + -2m = 17 Add '-5' to each side of the equation. 5 + -5 + -2m = 17 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = 17 + -5 -2m = 17 + -5 Combine like terms: 17 + -5 = 12 -2m = 12 Divide each side by '-2'. m = -6 Simplifying m = -6
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