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Simplifying -9(1 + 4k) = 29 (1 * -9 + 4k * -9) = 29 (-9 + -36k) = 29 Solving -9 + -36k = 29 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 + 9 + -36k = 29 + 9 Combine like terms: -9 + 9 = 0 0 + -36k = 29 + 9 -36k = 29 + 9 Combine like terms: 29 + 9 = 38 -36k = 38 Divide each side by '-36'. k = -1.055555556 Simplifying k = -1.055555556
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