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Simplifying 3k + -4r + 8 + -7k + r + 1 = 0 Reorder the terms: 8 + 1 + 3k + -7k + -4r + r = 0 Combine like terms: 8 + 1 = 9 9 + 3k + -7k + -4r + r = 0 Combine like terms: 3k + -7k = -4k 9 + -4k + -4r + r = 0 Combine like terms: -4r + r = -3r 9 + -4k + -3r = 0 Solving 9 + -4k + -3r = 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 + -3r = 0 + -9 Reorder the terms: 9 + -9 + -4k + -3r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4k + -3r = 0 + -9 -4k + -3r = 0 + -9 Combine like terms: 0 + -9 = -9 -4k + -3r = -9 Add '3r' to each side of the equation. -4k + -3r + 3r = -9 + 3r Combine like terms: -3r + 3r = 0 -4k + 0 = -9 + 3r -4k = -9 + 3r Divide each side by '-4'. k = 2.25 + -0.75r Simplifying k = 2.25 + -0.75r
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