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Simplifying 7(7n + 3) = -24 + 4n Reorder the terms: 7(3 + 7n) = -24 + 4n (3 * 7 + 7n * 7) = -24 + 4n (21 + 49n) = -24 + 4n Solving 21 + 49n = -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. 21 + 49n + -4n = -24 + 4n + -4n Combine like terms: 49n + -4n = 45n 21 + 45n = -24 + 4n + -4n Combine like terms: 4n + -4n = 0 21 + 45n = -24 + 0 21 + 45n = -24 Add '-21' to each side of the equation. 21 + -21 + 45n = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 45n = -24 + -21 45n = -24 + -21 Combine like terms: -24 + -21 = -45 45n = -45 Divide each side by '45'. n = -1 Simplifying n = -1
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