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Simplifying -7(-9z + -6 + 9k) = 0 Reorder the terms: -7(-6 + 9k + -9z) = 0 (-6 * -7 + 9k * -7 + -9z * -7) = 0 (42 + -63k + 63z) = 0 Solving 42 + -63k + 63z = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -63k + -42 + 63z = 0 + -42 Reorder the terms: 42 + -42 + -63k + 63z = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -63k + 63z = 0 + -42 -63k + 63z = 0 + -42 Combine like terms: 0 + -42 = -42 -63k + 63z = -42 Add '-63z' to each side of the equation. -63k + 63z + -63z = -42 + -63z Combine like terms: 63z + -63z = 0 -63k + 0 = -42 + -63z -63k = -42 + -63z Divide each side by '-63'. k = 0.6666666667 + z Simplifying k = 0.6666666667 + z
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