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Simplifying -5(n + -7) = 21 + -7n Reorder the terms: -5(-7 + n) = 21 + -7n (-7 * -5 + n * -5) = 21 + -7n (35 + -5n) = 21 + -7n Solving 35 + -5n = 21 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 35 + -5n + 7n = 21 + -7n + 7n Combine like terms: -5n + 7n = 2n 35 + 2n = 21 + -7n + 7n Combine like terms: -7n + 7n = 0 35 + 2n = 21 + 0 35 + 2n = 21 Add '-35' to each side of the equation. 35 + -35 + 2n = 21 + -35 Combine like terms: 35 + -35 = 0 0 + 2n = 21 + -35 2n = 21 + -35 Combine like terms: 21 + -35 = -14 2n = -14 Divide each side by '2'. n = -7 Simplifying n = -7
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