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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 = -65n -6 + 18n = 77 + -65n Solving -6 + 18n = 77 + -65n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '65n' to each side of the equation. -6 + 18n + 65n = 77 + -65n + 65n Combine like terms: 18n + 65n = 83n -6 + 83n = 77 + -65n + 65n Combine like terms: -65n + 65n = 0 -6 + 83n = 77 + 0 -6 + 83n = 77 Add '6' to each side of the equation. -6 + 6 + 83n = 77 + 6 Combine like terms: -6 + 6 = 0 0 + 83n = 77 + 6 83n = 77 + 6 Combine like terms: 77 + 6 = 83 83n = 83 Divide each side by '83'. n = 1 Simplifying n = 1
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