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