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Simplifying -6(1 + -3n) = 7(10n + -11) + 5n (1 * -6 + -3n * -6) = 7(10n + -11) + 5n (-6 + 18n) = 7(10n + -11) + 5n Reorder the terms: -6 + 18n = 7(-11 + 10n) + 5n -6 + 18n = (-11 * 7 + 10n * 7) + 5n -6 + 18n = (-77 + 70n) + 5n Combine like terms: 70n + 5n = 75n -6 + 18n = -77 + 75n Solving -6 + 18n = -77 + 75n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-75n' to each side of the equation. -6 + 18n + -75n = -77 + 75n + -75n Combine like terms: 18n + -75n = -57n -6 + -57n = -77 + 75n + -75n Combine like terms: 75n + -75n = 0 -6 + -57n = -77 + 0 -6 + -57n = -77 Add '6' to each side of the equation. -6 + 6 + -57n = -77 + 6 Combine like terms: -6 + 6 = 0 0 + -57n = -77 + 6 -57n = -77 + 6 Combine like terms: -77 + 6 = -71 -57n = -71 Divide each side by '-57'. n = 1.245614035 Simplifying n = 1.245614035
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