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Simplifying 3n + 4 + -4n = -5 + 39n + 8 Reorder the terms: 4 + 3n + -4n = -5 + 39n + 8 Combine like terms: 3n + -4n = -1n 4 + -1n = -5 + 39n + 8 Reorder the terms: 4 + -1n = -5 + 8 + 39n Combine like terms: -5 + 8 = 3 4 + -1n = 3 + 39n Solving 4 + -1n = 3 + 39n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-39n' to each side of the equation. 4 + -1n + -39n = 3 + 39n + -39n Combine like terms: -1n + -39n = -40n 4 + -40n = 3 + 39n + -39n Combine like terms: 39n + -39n = 0 4 + -40n = 3 + 0 4 + -40n = 3 Add '-4' to each side of the equation. 4 + -4 + -40n = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -40n = 3 + -4 -40n = 3 + -4 Combine like terms: 3 + -4 = -1 -40n = -1 Divide each side by '-40'. n = 0.025 Simplifying n = 0.025
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