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Simplifying 5n + 1 = 8 + 2n + -4 Reorder the terms: 1 + 5n = 8 + 2n + -4 Reorder the terms: 1 + 5n = 8 + -4 + 2n Combine like terms: 8 + -4 = 4 1 + 5n = 4 + 2n Solving 1 + 5n = 4 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 1 + 5n + -2n = 4 + 2n + -2n Combine like terms: 5n + -2n = 3n 1 + 3n = 4 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 3n = 4 + 0 1 + 3n = 4 Add '-1' to each side of the equation. 1 + -1 + 3n = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 3n = 4 + -1 3n = 4 + -1 Combine like terms: 4 + -1 = 3 3n = 3 Divide each side by '3'. n = 1 Simplifying n = 1
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