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Simplifying 3 + -1n + 5 = -2 + 4n Reorder the terms: 3 + 5 + -1n = -2 + 4n Combine like terms: 3 + 5 = 8 8 + -1n = -2 + 4n Solving 8 + -1n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 8 + -1n + -4n = -2 + 4n + -4n Combine like terms: -1n + -4n = -5n 8 + -5n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -5n = -2 + 0 8 + -5n = -2 Add '-8' to each side of the equation. 8 + -8 + -5n = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -5n = -2 + -8 -5n = -2 + -8 Combine like terms: -2 + -8 = -10 -5n = -10 Divide each side by '-5'. n = 2 Simplifying n = 2
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