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Simplifying -7(5k + 8) = 22 + 4k Reorder the terms: -7(8 + 5k) = 22 + 4k (8 * -7 + 5k * -7) = 22 + 4k (-56 + -35k) = 22 + 4k Solving -56 + -35k = 22 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -56 + -35k + -4k = 22 + 4k + -4k Combine like terms: -35k + -4k = -39k -56 + -39k = 22 + 4k + -4k Combine like terms: 4k + -4k = 0 -56 + -39k = 22 + 0 -56 + -39k = 22 Add '56' to each side of the equation. -56 + 56 + -39k = 22 + 56 Combine like terms: -56 + 56 = 0 0 + -39k = 22 + 56 -39k = 22 + 56 Combine like terms: 22 + 56 = 78 -39k = 78 Divide each side by '-39'. k = -2 Simplifying k = -2
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