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Simplifying 11n + 7 + n = 16 + 2n + 11 Reorder the terms: 7 + 11n + n = 16 + 2n + 11 Combine like terms: 11n + n = 12n 7 + 12n = 16 + 2n + 11 Reorder the terms: 7 + 12n = 16 + 11 + 2n Combine like terms: 16 + 11 = 27 7 + 12n = 27 + 2n Solving 7 + 12n = 27 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7 + 12n + -2n = 27 + 2n + -2n Combine like terms: 12n + -2n = 10n 7 + 10n = 27 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + 10n = 27 + 0 7 + 10n = 27 Add '-7' to each side of the equation. 7 + -7 + 10n = 27 + -7 Combine like terms: 7 + -7 = 0 0 + 10n = 27 + -7 10n = 27 + -7 Combine like terms: 27 + -7 = 20 10n = 20 Divide each side by '10'. n = 2 Simplifying n = 2
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