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Simplifying 7(n + 13) + -1(5n + 21) = 0 Reorder the terms: 7(13 + n) + -1(5n + 21) = 0 (13 * 7 + n * 7) + -1(5n + 21) = 0 (91 + 7n) + -1(5n + 21) = 0 Reorder the terms: 91 + 7n + -1(21 + 5n) = 0 91 + 7n + (21 * -1 + 5n * -1) = 0 91 + 7n + (-21 + -5n) = 0 Reorder the terms: 91 + -21 + 7n + -5n = 0 Combine like terms: 91 + -21 = 70 70 + 7n + -5n = 0 Combine like terms: 7n + -5n = 2n 70 + 2n = 0 Solving 70 + 2n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 2n = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 2n = 0 + -70 2n = 0 + -70 Combine like terms: 0 + -70 = -70 2n = -70 Divide each side by '2'. n = -35 Simplifying n = -35
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