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Simplifying 9 + 5r + -9r + 5k + -1k = 0 Reorder the terms: 9 + 5k + -1k + 5r + -9r = 0 Combine like terms: 5k + -1k = 4k 9 + 4k + 5r + -9r = 0 Combine like terms: 5r + -9r = -4r 9 + 4k + -4r = 0 Solving 9 + 4k + -4r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4k + -9 + -4r = 0 + -9 Reorder the terms: 9 + -9 + 4k + -4r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4k + -4r = 0 + -9 4k + -4r = 0 + -9 Combine like terms: 0 + -9 = -9 4k + -4r = -9 Add '4r' to each side of the equation. 4k + -4r + 4r = -9 + 4r Combine like terms: -4r + 4r = 0 4k + 0 = -9 + 4r 4k = -9 + 4r Divide each side by '4'. k = -2.25 + r Simplifying k = -2.25 + r
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