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Simplifying 7(n + 7) = -14 + -2n Reorder the terms: 7(7 + n) = -14 + -2n (7 * 7 + n * 7) = -14 + -2n (49 + 7n) = -14 + -2n Solving 49 + 7n = -14 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 49 + 7n + 2n = -14 + -2n + 2n Combine like terms: 7n + 2n = 9n 49 + 9n = -14 + -2n + 2n Combine like terms: -2n + 2n = 0 49 + 9n = -14 + 0 49 + 9n = -14 Add '-49' to each side of the equation. 49 + -49 + 9n = -14 + -49 Combine like terms: 49 + -49 = 0 0 + 9n = -14 + -49 9n = -14 + -49 Combine like terms: -14 + -49 = -63 9n = -63 Divide each side by '9'. n = -7 Simplifying n = -7
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