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Simplifying 14 + 12y + 10k + -3y + -4k + -16 = 0 Reorder the terms: 14 + -16 + 10k + -4k + 12y + -3y = 0 Combine like terms: 14 + -16 = -2 -2 + 10k + -4k + 12y + -3y = 0 Combine like terms: 10k + -4k = 6k -2 + 6k + 12y + -3y = 0 Combine like terms: 12y + -3y = 9y -2 + 6k + 9y = 0 Solving -2 + 6k + 9y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6k + 2 + 9y = 0 + 2 Reorder the terms: -2 + 2 + 6k + 9y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6k + 9y = 0 + 2 6k + 9y = 0 + 2 Combine like terms: 0 + 2 = 2 6k + 9y = 2 Add '-9y' to each side of the equation. 6k + 9y + -9y = 2 + -9y Combine like terms: 9y + -9y = 0 6k + 0 = 2 + -9y 6k = 2 + -9y Divide each side by '6'. k = 0.3333333333 + -1.5y Simplifying k = 0.3333333333 + -1.5y
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