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Simplifying 5k + -5z + 4r + k + -2z + 4 = 0 Reorder the terms: 4 + 5k + k + 4r + -5z + -2z = 0 Combine like terms: 5k + k = 6k 4 + 6k + 4r + -5z + -2z = 0 Combine like terms: -5z + -2z = -7z 4 + 6k + 4r + -7z = 0 Solving 4 + 6k + 4r + -7z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 6k + 4r + -4 + -7z = 0 + -4 Reorder the terms: 4 + -4 + 6k + 4r + -7z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 6k + 4r + -7z = 0 + -4 6k + 4r + -7z = 0 + -4 Combine like terms: 0 + -4 = -4 6k + 4r + -7z = -4 Add '-4r' to each side of the equation. 6k + 4r + -4r + -7z = -4 + -4r Combine like terms: 4r + -4r = 0 6k + 0 + -7z = -4 + -4r 6k + -7z = -4 + -4r Add '7z' to each side of the equation. 6k + -7z + 7z = -4 + -4r + 7z Combine like terms: -7z + 7z = 0 6k + 0 = -4 + -4r + 7z 6k = -4 + -4r + 7z Divide each side by '6'. k = -0.6666666667 + -0.6666666667r + 1.166666667z Simplifying k = -0.6666666667 + -0.6666666667r + 1.166666667z
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