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Simplifying 8 + 5(1 + -9k) = 32 8 + (1 * 5 + -9k * 5) = 32 8 + (5 + -45k) = 32 Combine like terms: 8 + 5 = 13 13 + -45k = 32 Solving 13 + -45k = 32 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -45k = 32 + -13 Combine like terms: 13 + -13 = 0 0 + -45k = 32 + -13 -45k = 32 + -13 Combine like terms: 32 + -13 = 19 -45k = 19 Divide each side by '-45'. k = -0.4222222222 Simplifying k = -0.4222222222
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