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Simplifying 9 + 5(1 + 8k) = -22 9 + (1 * 5 + 8k * 5) = -22 9 + (5 + 40k) = -22 Combine like terms: 9 + 5 = 14 14 + 40k = -22 Solving 14 + 40k = -22 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 40k = -22 + -14 Combine like terms: 14 + -14 = 0 0 + 40k = -22 + -14 40k = -22 + -14 Combine like terms: -22 + -14 = -36 40k = -36 Divide each side by '40'. k = -0.9 Simplifying k = -0.9
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