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Simplifying 4 + 9n = 10n + 1n + -6 Reorder the terms: 4 + 9n = -6 + 10n + 1n Combine like terms: 10n + 1n = 11n 4 + 9n = -6 + 11n Solving 4 + 9n = -6 + 11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11n' to each side of the equation. 4 + 9n + -11n = -6 + 11n + -11n Combine like terms: 9n + -11n = -2n 4 + -2n = -6 + 11n + -11n Combine like terms: 11n + -11n = 0 4 + -2n = -6 + 0 4 + -2n = -6 Add '-4' to each side of the equation. 4 + -4 + -2n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = -6 + -4 -2n = -6 + -4 Combine like terms: -6 + -4 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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