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Simplifying 12n + (-3k) + 2n + -5k = 0 Reorder the terms: (-3k) + -5k + 12n + 2n = 0 Combine like terms: (-3k) + -5k = -8k -8k + 12n + 2n = 0 Combine like terms: 12n + 2n = 14n -8k + 14n = 0 Solving -8k + 14n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14n' to each side of the equation. -8k + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 -8k + 0 = 0 + -14n -8k = 0 + -14n Remove the zero: -8k = -14n Divide each side by '-8'. k = 1.75n Simplifying k = 1.75n
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