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Simplifying 22 + 6n = 5(n + 5) Reorder the terms: 22 + 6n = 5(5 + n) 22 + 6n = (5 * 5 + n * 5) 22 + 6n = (25 + 5n) Solving 22 + 6n = 25 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 22 + 6n + -5n = 25 + 5n + -5n Combine like terms: 6n + -5n = 1n 22 + 1n = 25 + 5n + -5n Combine like terms: 5n + -5n = 0 22 + 1n = 25 + 0 22 + 1n = 25 Add '-22' to each side of the equation. 22 + -22 + 1n = 25 + -22 Combine like terms: 22 + -22 = 0 0 + 1n = 25 + -22 1n = 25 + -22 Combine like terms: 25 + -22 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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