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Simplifying 5n + -4 = 32 + n Reorder the terms: -4 + 5n = 32 + n Solving -4 + 5n = 32 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -4 + 5n + -1n = 32 + n + -1n Combine like terms: 5n + -1n = 4n -4 + 4n = 32 + n + -1n Combine like terms: n + -1n = 0 -4 + 4n = 32 + 0 -4 + 4n = 32 Add '4' to each side of the equation. -4 + 4 + 4n = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 4n = 32 + 4 4n = 32 + 4 Combine like terms: 32 + 4 = 36 4n = 36 Divide each side by '4'. n = 9 Simplifying n = 9
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