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Simplifying 0.5(24n + -18) = 3(6 + n) Reorder the terms: 0.5(-18 + 24n) = 3(6 + n) (-18 * 0.5 + 24n * 0.5) = 3(6 + n) (-9 + 12n) = 3(6 + n) -9 + 12n = (6 * 3 + n * 3) -9 + 12n = (18 + 3n) Solving -9 + 12n = 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. -9 + 12n + -3n = 18 + 3n + -3n Combine like terms: 12n + -3n = 9n -9 + 9n = 18 + 3n + -3n Combine like terms: 3n + -3n = 0 -9 + 9n = 18 + 0 -9 + 9n = 18 Add '9' to each side of the equation. -9 + 9 + 9n = 18 + 9 Combine like terms: -9 + 9 = 0 0 + 9n = 18 + 9 9n = 18 + 9 Combine like terms: 18 + 9 = 27 9n = 27 Divide each side by '9'. n = 3 Simplifying n = 3
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