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Simplifying -6(1 + 4k) = -24 (1 * -6 + 4k * -6) = -24 (-6 + -24k) = -24 Solving -6 + -24k = -24 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -24k = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -24k = -24 + 6 -24k = -24 + 6 Combine like terms: -24 + 6 = -18 -24k = -18 Divide each side by '-24'. k = 0.75 Simplifying k = 0.75
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