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Simplifying -9(-1 + -4k) + k = 0 (-1 * -9 + -4k * -9) + k = 0 (9 + 36k) + k = 0 Combine like terms: 36k + k = 37k 9 + 37k = 0 Solving 9 + 37k = 0 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 + 37k = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 37k = 0 + -9 37k = 0 + -9 Combine like terms: 0 + -9 = -9 37k = -9 Divide each side by '37'. k = -0.2432432432 Simplifying k = -0.2432432432
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