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Simplifying 5(n + 3) = 2(2n + 11) Reorder the terms: 5(3 + n) = 2(2n + 11) (3 * 5 + n * 5) = 2(2n + 11) (15 + 5n) = 2(2n + 11) Reorder the terms: 15 + 5n = 2(11 + 2n) 15 + 5n = (11 * 2 + 2n * 2) 15 + 5n = (22 + 4n) Solving 15 + 5n = 22 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 15 + 5n + -4n = 22 + 4n + -4n Combine like terms: 5n + -4n = 1n 15 + 1n = 22 + 4n + -4n Combine like terms: 4n + -4n = 0 15 + 1n = 22 + 0 15 + 1n = 22 Add '-15' to each side of the equation. 15 + -15 + 1n = 22 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = 22 + -15 1n = 22 + -15 Combine like terms: 22 + -15 = 7 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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