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Simplifying 5(4 + n) = 2(9 + 2n) (4 * 5 + n * 5) = 2(9 + 2n) (20 + 5n) = 2(9 + 2n) 20 + 5n = (9 * 2 + 2n * 2) 20 + 5n = (18 + 4n) Solving 20 + 5n = 18 + 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. 20 + 5n + -4n = 18 + 4n + -4n Combine like terms: 5n + -4n = 1n 20 + 1n = 18 + 4n + -4n Combine like terms: 4n + -4n = 0 20 + 1n = 18 + 0 20 + 1n = 18 Add '-20' to each side of the equation. 20 + -20 + 1n = 18 + -20 Combine like terms: 20 + -20 = 0 0 + 1n = 18 + -20 1n = 18 + -20 Combine like terms: 18 + -20 = -2 1n = -2 Divide each side by '1'. n = -2 Simplifying n = -2
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