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Simplifying -6n + -3n = -11(1 + -9n) + -1(10n + -11) Combine like terms: -6n + -3n = -9n -9n = -11(1 + -9n) + -1(10n + -11) -9n = (1 * -11 + -9n * -11) + -1(10n + -11) -9n = (-11 + 99n) + -1(10n + -11) Reorder the terms: -9n = -11 + 99n + -1(-11 + 10n) -9n = -11 + 99n + (-11 * -1 + 10n * -1) -9n = -11 + 99n + (11 + -10n) Reorder the terms: -9n = -11 + 11 + 99n + -10n Combine like terms: -11 + 11 = 0 -9n = 0 + 99n + -10n -9n = 99n + -10n Combine like terms: 99n + -10n = 89n -9n = 89n Solving -9n = 89n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-89n' to each side of the equation. -9n + -89n = 89n + -89n Combine like terms: -9n + -89n = -98n -98n = 89n + -89n Combine like terms: 89n + -89n = 0 -98n = 0 Divide each side by '-98'. n = 0 Simplifying n = 0
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