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Simplifying -10(n + 1) + 20(2n + 13) = 7 Reorder the terms: -10(1 + n) + 20(2n + 13) = 7 (1 * -10 + n * -10) + 20(2n + 13) = 7 (-10 + -10n) + 20(2n + 13) = 7 Reorder the terms: -10 + -10n + 20(13 + 2n) = 7 -10 + -10n + (13 * 20 + 2n * 20) = 7 -10 + -10n + (260 + 40n) = 7 Reorder the terms: -10 + 260 + -10n + 40n = 7 Combine like terms: -10 + 260 = 250 250 + -10n + 40n = 7 Combine like terms: -10n + 40n = 30n 250 + 30n = 7 Solving 250 + 30n = 7 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-250' to each side of the equation. 250 + -250 + 30n = 7 + -250 Combine like terms: 250 + -250 = 0 0 + 30n = 7 + -250 30n = 7 + -250 Combine like terms: 7 + -250 = -243 30n = -243 Divide each side by '30'. n = -8.1 Simplifying n = -8.1
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