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Simplifying 7(4n + 7) = -5 + n Reorder the terms: 7(7 + 4n) = -5 + n (7 * 7 + 4n * 7) = -5 + n (49 + 28n) = -5 + n Solving 49 + 28n = -5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 49 + 28n + -1n = -5 + n + -1n Combine like terms: 28n + -1n = 27n 49 + 27n = -5 + n + -1n Combine like terms: n + -1n = 0 49 + 27n = -5 + 0 49 + 27n = -5 Add '-49' to each side of the equation. 49 + -49 + 27n = -5 + -49 Combine like terms: 49 + -49 = 0 0 + 27n = -5 + -49 27n = -5 + -49 Combine like terms: -5 + -49 = -54 27n = -54 Divide each side by '27'. n = -2 Simplifying n = -2
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