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Simplifying -6(-10z + -9 + 6n) = 0 Reorder the terms: -6(-9 + 6n + -10z) = 0 (-9 * -6 + 6n * -6 + -10z * -6) = 0 (54 + -36n + 60z) = 0 Solving 54 + -36n + 60z = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -36n + -54 + 60z = 0 + -54 Reorder the terms: 54 + -54 + -36n + 60z = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -36n + 60z = 0 + -54 -36n + 60z = 0 + -54 Combine like terms: 0 + -54 = -54 -36n + 60z = -54 Add '-60z' to each side of the equation. -36n + 60z + -60z = -54 + -60z Combine like terms: 60z + -60z = 0 -36n + 0 = -54 + -60z -36n = -54 + -60z Divide each side by '-36'. n = 1.5 + 1.666666667z Simplifying n = 1.5 + 1.666666667z
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