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Simplifying -8(3 + -5k) = 4(9k + 11) (3 * -8 + -5k * -8) = 4(9k + 11) (-24 + 40k) = 4(9k + 11) Reorder the terms: -24 + 40k = 4(11 + 9k) -24 + 40k = (11 * 4 + 9k * 4) -24 + 40k = (44 + 36k) Solving -24 + 40k = 44 + 36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36k' to each side of the equation. -24 + 40k + -36k = 44 + 36k + -36k Combine like terms: 40k + -36k = 4k -24 + 4k = 44 + 36k + -36k Combine like terms: 36k + -36k = 0 -24 + 4k = 44 + 0 -24 + 4k = 44 Add '24' to each side of the equation. -24 + 24 + 4k = 44 + 24 Combine like terms: -24 + 24 = 0 0 + 4k = 44 + 24 4k = 44 + 24 Combine like terms: 44 + 24 = 68 4k = 68 Divide each side by '4'. k = 17 Simplifying k = 17
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