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Simplifying -9 + -6(1 + -5k) = 33 -9 + (1 * -6 + -5k * -6) = 33 -9 + (-6 + 30k) = 33 Combine like terms: -9 + -6 = -15 -15 + 30k = 33 Solving -15 + 30k = 33 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 30k = 33 + 15 Combine like terms: -15 + 15 = 0 0 + 30k = 33 + 15 30k = 33 + 15 Combine like terms: 33 + 15 = 48 30k = 48 Divide each side by '30'. k = 1.6 Simplifying k = 1.6
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