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Simplifying -8(k + -7) = 32 + -4k Reorder the terms: -8(-7 + k) = 32 + -4k (-7 * -8 + k * -8) = 32 + -4k (56 + -8k) = 32 + -4k Solving 56 + -8k = 32 + -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 + -8k + 4k = 32 + -4k + 4k Combine like terms: -8k + 4k = -4k 56 + -4k = 32 + -4k + 4k Combine like terms: -4k + 4k = 0 56 + -4k = 32 + 0 56 + -4k = 32 Add '-56' to each side of the equation. 56 + -56 + -4k = 32 + -56 Combine like terms: 56 + -56 = 0 0 + -4k = 32 + -56 -4k = 32 + -56 Combine like terms: 32 + -56 = -24 -4k = -24 Divide each side by '-4'. k = 6 Simplifying k = 6
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