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Simplifying 5n + -7 = 3n + -1 Reorder the terms: -7 + 5n = 3n + -1 Reorder the terms: -7 + 5n = -1 + 3n Solving -7 + 5n = -1 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -7 + 5n + -3n = -1 + 3n + -3n Combine like terms: 5n + -3n = 2n -7 + 2n = -1 + 3n + -3n Combine like terms: 3n + -3n = 0 -7 + 2n = -1 + 0 -7 + 2n = -1 Add '7' to each side of the equation. -7 + 7 + 2n = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 2n = -1 + 7 2n = -1 + 7 Combine like terms: -1 + 7 = 6 2n = 6 Divide each side by '2'. n = 3 Simplifying n = 3
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