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Simplifying 24 + 11r + 9k + -3r + -4k + -7 = 0 Reorder the terms: 24 + -7 + 9k + -4k + 11r + -3r = 0 Combine like terms: 24 + -7 = 17 17 + 9k + -4k + 11r + -3r = 0 Combine like terms: 9k + -4k = 5k 17 + 5k + 11r + -3r = 0 Combine like terms: 11r + -3r = 8r 17 + 5k + 8r = 0 Solving 17 + 5k + 8r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 5k + -17 + 8r = 0 + -17 Reorder the terms: 17 + -17 + 5k + 8r = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5k + 8r = 0 + -17 5k + 8r = 0 + -17 Combine like terms: 0 + -17 = -17 5k + 8r = -17 Add '-8r' to each side of the equation. 5k + 8r + -8r = -17 + -8r Combine like terms: 8r + -8r = 0 5k + 0 = -17 + -8r 5k = -17 + -8r Divide each side by '5'. k = -3.4 + -1.6r Simplifying k = -3.4 + -1.6r
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