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Simplifying -1(1 + -6n) = 3(n + 7) + n (1 * -1 + -6n * -1) = 3(n + 7) + n (-1 + 6n) = 3(n + 7) + n Reorder the terms: -1 + 6n = 3(7 + n) + n -1 + 6n = (7 * 3 + n * 3) + n -1 + 6n = (21 + 3n) + n Combine like terms: 3n + n = 4n -1 + 6n = 21 + 4n Solving -1 + 6n = 21 + 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. -1 + 6n + -4n = 21 + 4n + -4n Combine like terms: 6n + -4n = 2n -1 + 2n = 21 + 4n + -4n Combine like terms: 4n + -4n = 0 -1 + 2n = 21 + 0 -1 + 2n = 21 Add '1' to each side of the equation. -1 + 1 + 2n = 21 + 1 Combine like terms: -1 + 1 = 0 0 + 2n = 21 + 1 2n = 21 + 1 Combine like terms: 21 + 1 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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