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Simplifying -5 + 4(1 + -9k) = 25 -5 + (1 * 4 + -9k * 4) = 25 -5 + (4 + -36k) = 25 Combine like terms: -5 + 4 = -1 -1 + -36k = 25 Solving -1 + -36k = 25 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -36k = 25 + 1 Combine like terms: -1 + 1 = 0 0 + -36k = 25 + 1 -36k = 25 + 1 Combine like terms: 25 + 1 = 26 -36k = 26 Divide each side by '-36'. k = -0.7222222222 Simplifying k = -0.7222222222
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