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Simplifying 16 + 13r + 11k + -5r + -3k + 27 = 0 Reorder the terms: 16 + 27 + 11k + -3k + 13r + -5r = 0 Combine like terms: 16 + 27 = 43 43 + 11k + -3k + 13r + -5r = 0 Combine like terms: 11k + -3k = 8k 43 + 8k + 13r + -5r = 0 Combine like terms: 13r + -5r = 8r 43 + 8k + 8r = 0 Solving 43 + 8k + 8r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + 8k + -43 + 8r = 0 + -43 Reorder the terms: 43 + -43 + 8k + 8r = 0 + -43 Combine like terms: 43 + -43 = 0 0 + 8k + 8r = 0 + -43 8k + 8r = 0 + -43 Combine like terms: 0 + -43 = -43 8k + 8r = -43 Add '-8r' to each side of the equation. 8k + 8r + -8r = -43 + -8r Combine like terms: 8r + -8r = 0 8k + 0 = -43 + -8r 8k = -43 + -8r Divide each side by '8'. k = -5.375 + -1r Simplifying k = -5.375 + -1r
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