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Simplifying 5(4 + -1n) = n + 32 (4 * 5 + -1n * 5) = n + 32 (20 + -5n) = n + 32 Reorder the terms: 20 + -5n = 32 + n Solving 20 + -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. 20 + -5n + -1n = 32 + n + -1n Combine like terms: -5n + -1n = -6n 20 + -6n = 32 + n + -1n Combine like terms: n + -1n = 0 20 + -6n = 32 + 0 20 + -6n = 32 Add '-20' to each side of the equation. 20 + -20 + -6n = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -6n = 32 + -20 -6n = 32 + -20 Combine like terms: 32 + -20 = 12 -6n = 12 Divide each side by '-6'. n = -2 Simplifying n = -2
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