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Simplifying -9(-3r + -6 + 7k) = 0 Reorder the terms: -9(-6 + 7k + -3r) = 0 (-6 * -9 + 7k * -9 + -3r * -9) = 0 (54 + -63k + 27r) = 0 Solving 54 + -63k + 27r = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -63k + -54 + 27r = 0 + -54 Reorder the terms: 54 + -54 + -63k + 27r = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -63k + 27r = 0 + -54 -63k + 27r = 0 + -54 Combine like terms: 0 + -54 = -54 -63k + 27r = -54 Add '-27r' to each side of the equation. -63k + 27r + -27r = -54 + -27r Combine like terms: 27r + -27r = 0 -63k + 0 = -54 + -27r -63k = -54 + -27r Divide each side by '-63'. k = 0.8571428571 + 0.4285714286r Simplifying k = 0.8571428571 + 0.4285714286r
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