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Simplifying -8(7 + 3k) = 28 + 4k (7 * -8 + 3k * -8) = 28 + 4k (-56 + -24k) = 28 + 4k Solving -56 + -24k = 28 + 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 + -24k + -4k = 28 + 4k + -4k Combine like terms: -24k + -4k = -28k -56 + -28k = 28 + 4k + -4k Combine like terms: 4k + -4k = 0 -56 + -28k = 28 + 0 -56 + -28k = 28 Add '56' to each side of the equation. -56 + 56 + -28k = 28 + 56 Combine like terms: -56 + 56 = 0 0 + -28k = 28 + 56 -28k = 28 + 56 Combine like terms: 28 + 56 = 84 -28k = 84 Divide each side by '-28'. k = -3 Simplifying k = -3
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