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