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Simplifying 3n + 8 = 6 + -1n Reorder the terms: 8 + 3n = 6 + -1n Solving 8 + 3n = 6 + -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. 8 + 3n + n = 6 + -1n + n Combine like terms: 3n + n = 4n 8 + 4n = 6 + -1n + n Combine like terms: -1n + n = 0 8 + 4n = 6 + 0 8 + 4n = 6 Add '-8' to each side of the equation. 8 + -8 + 4n = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 4n = 6 + -8 4n = 6 + -8 Combine like terms: 6 + -8 = -2 4n = -2 Divide each side by '4'. n = -0.5 Simplifying n = -0.5
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