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Simplifying 3m + -2 + m = 7 + 5m + 1 Reorder the terms: -2 + 3m + m = 7 + 5m + 1 Combine like terms: 3m + m = 4m -2 + 4m = 7 + 5m + 1 Reorder the terms: -2 + 4m = 7 + 1 + 5m Combine like terms: 7 + 1 = 8 -2 + 4m = 8 + 5m Solving -2 + 4m = 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. -2 + 4m + -5m = 8 + 5m + -5m Combine like terms: 4m + -5m = -1m -2 + -1m = 8 + 5m + -5m Combine like terms: 5m + -5m = 0 -2 + -1m = 8 + 0 -2 + -1m = 8 Add '2' to each side of the equation. -2 + 2 + -1m = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 8 + 2 -1m = 8 + 2 Combine like terms: 8 + 2 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10
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