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Simplifying 10(9 + 9n) = -7n + 8(1 + 7n) (9 * 10 + 9n * 10) = -7n + 8(1 + 7n) (90 + 90n) = -7n + 8(1 + 7n) 90 + 90n = -7n + (1 * 8 + 7n * 8) 90 + 90n = -7n + (8 + 56n) Reorder the terms: 90 + 90n = 8 + -7n + 56n Combine like terms: -7n + 56n = 49n 90 + 90n = 8 + 49n Solving 90 + 90n = 8 + 49n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-49n' to each side of the equation. 90 + 90n + -49n = 8 + 49n + -49n Combine like terms: 90n + -49n = 41n 90 + 41n = 8 + 49n + -49n Combine like terms: 49n + -49n = 0 90 + 41n = 8 + 0 90 + 41n = 8 Add '-90' to each side of the equation. 90 + -90 + 41n = 8 + -90 Combine like terms: 90 + -90 = 0 0 + 41n = 8 + -90 41n = 8 + -90 Combine like terms: 8 + -90 = -82 41n = -82 Divide each side by '41'. n = -2 Simplifying n = -2
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