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Simplifying 3n + -8 = 32 + -1n Reorder the terms: -8 + 3n = 32 + -1n Solving -8 + 3n = 32 + -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 = 32 + -1n + n Combine like terms: 3n + n = 4n -8 + 4n = 32 + -1n + n Combine like terms: -1n + n = 0 -8 + 4n = 32 + 0 -8 + 4n = 32 Add '8' to each side of the equation. -8 + 8 + 4n = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 32 + 8 4n = 32 + 8 Combine like terms: 32 + 8 = 40 4n = 40 Divide each side by '4'. n = 10 Simplifying n = 10
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