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Simplifying 3(5n + 3) = -24 + 4n Reorder the terms: 3(3 + 5n) = -24 + 4n (3 * 3 + 5n * 3) = -24 + 4n (9 + 15n) = -24 + 4n Solving 9 + 15n = -24 + 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. 9 + 15n + -4n = -24 + 4n + -4n Combine like terms: 15n + -4n = 11n 9 + 11n = -24 + 4n + -4n Combine like terms: 4n + -4n = 0 9 + 11n = -24 + 0 9 + 11n = -24 Add '-9' to each side of the equation. 9 + -9 + 11n = -24 + -9 Combine like terms: 9 + -9 = 0 0 + 11n = -24 + -9 11n = -24 + -9 Combine like terms: -24 + -9 = -33 11n = -33 Divide each side by '11'. n = -3 Simplifying n = -3
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