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Simplifying 5n + -5 + n = 3 + -3n + 1 Reorder the terms: -5 + 5n + n = 3 + -3n + 1 Combine like terms: 5n + n = 6n -5 + 6n = 3 + -3n + 1 Reorder the terms: -5 + 6n = 3 + 1 + -3n Combine like terms: 3 + 1 = 4 -5 + 6n = 4 + -3n Solving -5 + 6n = 4 + -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. -5 + 6n + 3n = 4 + -3n + 3n Combine like terms: 6n + 3n = 9n -5 + 9n = 4 + -3n + 3n Combine like terms: -3n + 3n = 0 -5 + 9n = 4 + 0 -5 + 9n = 4 Add '5' to each side of the equation. -5 + 5 + 9n = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 9n = 4 + 5 9n = 4 + 5 Combine like terms: 4 + 5 = 9 9n = 9 Divide each side by '9'. n = 1 Simplifying n = 1
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