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Simplifying 8(6n + 3) = 24 + 3n Reorder the terms: 8(3 + 6n) = 24 + 3n (3 * 8 + 6n * 8) = 24 + 3n (24 + 48n) = 24 + 3n Add '-24' to each side of the equation. 24 + -24 + 48n = 24 + -24 + 3n Combine like terms: 24 + -24 = 0 0 + 48n = 24 + -24 + 3n 48n = 24 + -24 + 3n Combine like terms: 24 + -24 = 0 48n = 0 + 3n 48n = 3n Solving 48n = 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. 48n + -3n = 3n + -3n Combine like terms: 48n + -3n = 45n 45n = 3n + -3n Combine like terms: 3n + -3n = 0 45n = 0 Divide each side by '45'. n = 0 Simplifying n = 0
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