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Simplifying 7(4 + 4n) + 2 = 30 + 4n (4 * 7 + 4n * 7) + 2 = 30 + 4n (28 + 28n) + 2 = 30 + 4n Reorder the terms: 28 + 2 + 28n = 30 + 4n Combine like terms: 28 + 2 = 30 30 + 28n = 30 + 4n Add '-30' to each side of the equation. 30 + -30 + 28n = 30 + -30 + 4n Combine like terms: 30 + -30 = 0 0 + 28n = 30 + -30 + 4n 28n = 30 + -30 + 4n Combine like terms: 30 + -30 = 0 28n = 0 + 4n 28n = 4n Solving 28n = 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. 28n + -4n = 4n + -4n Combine like terms: 28n + -4n = 24n 24n = 4n + -4n Combine like terms: 4n + -4n = 0 24n = 0 Divide each side by '24'. n = 0 Simplifying n = 0
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