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Simplifying -7(5 + 9k) = -23 (5 * -7 + 9k * -7) = -23 (-35 + -63k) = -23 Solving -35 + -63k = -23 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -63k = -23 + 35 Combine like terms: -35 + 35 = 0 0 + -63k = -23 + 35 -63k = -23 + 35 Combine like terms: -23 + 35 = 12 -63k = 12 Divide each side by '-63'. k = -0.1904761905 Simplifying k = -0.1904761905
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