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Simplifying 2 + 7y + 7k + -2y + -4k + -5 = 0 Reorder the terms: 2 + -5 + 7k + -4k + 7y + -2y = 0 Combine like terms: 2 + -5 = -3 -3 + 7k + -4k + 7y + -2y = 0 Combine like terms: 7k + -4k = 3k -3 + 3k + 7y + -2y = 0 Combine like terms: 7y + -2y = 5y -3 + 3k + 5y = 0 Solving -3 + 3k + 5y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3k + 3 + 5y = 0 + 3 Reorder the terms: -3 + 3 + 3k + 5y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3k + 5y = 0 + 3 3k + 5y = 0 + 3 Combine like terms: 0 + 3 = 3 3k + 5y = 3 Add '-5y' to each side of the equation. 3k + 5y + -5y = 3 + -5y Combine like terms: 5y + -5y = 0 3k + 0 = 3 + -5y 3k = 3 + -5y Divide each side by '3'. k = 1 + -1.666666667y Simplifying k = 1 + -1.666666667y
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