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Simplifying (7m + -1) = (5m + 1) Reorder the terms: (-1 + 7m) = (5m + 1) Remove parenthesis around (-1 + 7m) -1 + 7m = (5m + 1) Reorder the terms: -1 + 7m = (1 + 5m) Remove parenthesis around (1 + 5m) -1 + 7m = 1 + 5m Solving -1 + 7m = 1 + 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. -1 + 7m + -5m = 1 + 5m + -5m Combine like terms: 7m + -5m = 2m -1 + 2m = 1 + 5m + -5m Combine like terms: 5m + -5m = 0 -1 + 2m = 1 + 0 -1 + 2m = 1 Add '1' to each side of the equation. -1 + 1 + 2m = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 2m = 1 + 1 2m = 1 + 1 Combine like terms: 1 + 1 = 2 2m = 2 Divide each side by '2'. m = 1 Simplifying m = 1
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