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Simplifying 4(n + 5) = 5 + n Reorder the terms: 4(5 + n) = 5 + n (5 * 4 + n * 4) = 5 + n (20 + 4n) = 5 + n Solving 20 + 4n = 5 + 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 + 4n + -1n = 5 + n + -1n Combine like terms: 4n + -1n = 3n 20 + 3n = 5 + n + -1n Combine like terms: n + -1n = 0 20 + 3n = 5 + 0 20 + 3n = 5 Add '-20' to each side of the equation. 20 + -20 + 3n = 5 + -20 Combine like terms: 20 + -20 = 0 0 + 3n = 5 + -20 3n = 5 + -20 Combine like terms: 5 + -20 = -15 3n = -15 Divide each side by '3'. n = -5 Simplifying n = -5
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