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Simplifying 4(n + 5) + -1n = 53 + -3n Reorder the terms: 4(5 + n) + -1n = 53 + -3n (5 * 4 + n * 4) + -1n = 53 + -3n (20 + 4n) + -1n = 53 + -3n Combine like terms: 4n + -1n = 3n 20 + 3n = 53 + -3n Solving 20 + 3n = 53 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 20 + 3n + 3n = 53 + -3n + 3n Combine like terms: 3n + 3n = 6n 20 + 6n = 53 + -3n + 3n Combine like terms: -3n + 3n = 0 20 + 6n = 53 + 0 20 + 6n = 53 Add '-20' to each side of the equation. 20 + -20 + 6n = 53 + -20 Combine like terms: 20 + -20 = 0 0 + 6n = 53 + -20 6n = 53 + -20 Combine like terms: 53 + -20 = 33 6n = 33 Divide each side by '6'. n = 5.5 Simplifying n = 5.5
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