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Simplifying -12 + 8r + 13k + -4r + -2k + 9 = 0 Reorder the terms: -12 + 9 + 13k + -2k + 8r + -4r = 0 Combine like terms: -12 + 9 = -3 -3 + 13k + -2k + 8r + -4r = 0 Combine like terms: 13k + -2k = 11k -3 + 11k + 8r + -4r = 0 Combine like terms: 8r + -4r = 4r -3 + 11k + 4r = 0 Solving -3 + 11k + 4r = 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 + 11k + 3 + 4r = 0 + 3 Reorder the terms: -3 + 3 + 11k + 4r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 11k + 4r = 0 + 3 11k + 4r = 0 + 3 Combine like terms: 0 + 3 = 3 11k + 4r = 3 Add '-4r' to each side of the equation. 11k + 4r + -4r = 3 + -4r Combine like terms: 4r + -4r = 0 11k + 0 = 3 + -4r 11k = 3 + -4r Divide each side by '11'. k = 0.2727272727 + -0.3636363636r Simplifying k = 0.2727272727 + -0.3636363636r
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