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Simplifying 2(5 + 2n) = 18 + 3n (5 * 2 + 2n * 2) = 18 + 3n (10 + 4n) = 18 + 3n Solving 10 + 4n = 18 + 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. 10 + 4n + -3n = 18 + 3n + -3n Combine like terms: 4n + -3n = 1n 10 + 1n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 1n = 18 + 0 10 + 1n = 18 Add '-10' to each side of the equation. 10 + -10 + 1n = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 1n = 18 + -10 1n = 18 + -10 Combine like terms: 18 + -10 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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