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Simplifying -1(-10n + 1) = -5(1 + -6n) + 7n Reorder the terms: -1(1 + -10n) = -5(1 + -6n) + 7n (1 * -1 + -10n * -1) = -5(1 + -6n) + 7n (-1 + 10n) = -5(1 + -6n) + 7n -1 + 10n = (1 * -5 + -6n * -5) + 7n -1 + 10n = (-5 + 30n) + 7n Combine like terms: 30n + 7n = 37n -1 + 10n = -5 + 37n Solving -1 + 10n = -5 + 37n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37n' to each side of the equation. -1 + 10n + -37n = -5 + 37n + -37n Combine like terms: 10n + -37n = -27n -1 + -27n = -5 + 37n + -37n Combine like terms: 37n + -37n = 0 -1 + -27n = -5 + 0 -1 + -27n = -5 Add '1' to each side of the equation. -1 + 1 + -27n = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -27n = -5 + 1 -27n = -5 + 1 Combine like terms: -5 + 1 = -4 -27n = -4 Divide each side by '-27'. n = 0.1481481481 Simplifying n = 0.1481481481
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