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Simplifying 10 + 9y + 14k + -4y + -3k + -12 = 0 Reorder the terms: 10 + -12 + 14k + -3k + 9y + -4y = 0 Combine like terms: 10 + -12 = -2 -2 + 14k + -3k + 9y + -4y = 0 Combine like terms: 14k + -3k = 11k -2 + 11k + 9y + -4y = 0 Combine like terms: 9y + -4y = 5y -2 + 11k + 5y = 0 Solving -2 + 11k + 5y = 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 + 11k + 2 + 5y = 0 + 2 Reorder the terms: -2 + 2 + 11k + 5y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11k + 5y = 0 + 2 11k + 5y = 0 + 2 Combine like terms: 0 + 2 = 2 11k + 5y = 2 Add '-5y' to each side of the equation. 11k + 5y + -5y = 2 + -5y Combine like terms: 5y + -5y = 0 11k + 0 = 2 + -5y 11k = 2 + -5y Divide each side by '11'. k = 0.1818181818 + -0.4545454545y Simplifying k = 0.1818181818 + -0.4545454545y
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