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Simplifying -9 + 7z + 13n + -2n + -3z + -12 = 0 Reorder the terms: -9 + -12 + 13n + -2n + 7z + -3z = 0 Combine like terms: -9 + -12 = -21 -21 + 13n + -2n + 7z + -3z = 0 Combine like terms: 13n + -2n = 11n -21 + 11n + 7z + -3z = 0 Combine like terms: 7z + -3z = 4z -21 + 11n + 4z = 0 Solving -21 + 11n + 4z = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 11n + 21 + 4z = 0 + 21 Reorder the terms: -21 + 21 + 11n + 4z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 11n + 4z = 0 + 21 11n + 4z = 0 + 21 Combine like terms: 0 + 21 = 21 11n + 4z = 21 Add '-4z' to each side of the equation. 11n + 4z + -4z = 21 + -4z Combine like terms: 4z + -4z = 0 11n + 0 = 21 + -4z 11n = 21 + -4z Divide each side by '11'. n = 1.909090909 + -0.3636363636z Simplifying n = 1.909090909 + -0.3636363636z
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