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Simplifying 15 + 4n = 5(n + 2) Reorder the terms: 15 + 4n = 5(2 + n) 15 + 4n = (2 * 5 + n * 5) 15 + 4n = (10 + 5n) Solving 15 + 4n = 10 + 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. 15 + 4n + -5n = 10 + 5n + -5n Combine like terms: 4n + -5n = -1n 15 + -1n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 15 + -1n = 10 + 0 15 + -1n = 10 Add '-15' to each side of the equation. 15 + -15 + -1n = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -1n = 10 + -15 -1n = 10 + -15 Combine like terms: 10 + -15 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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