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Simplifying -8(7 + 4k) = 7(-5k + -2) (7 * -8 + 4k * -8) = 7(-5k + -2) (-56 + -32k) = 7(-5k + -2) Reorder the terms: -56 + -32k = 7(-2 + -5k) -56 + -32k = (-2 * 7 + -5k * 7) -56 + -32k = (-14 + -35k) Solving -56 + -32k = -14 + -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. -56 + -32k + 35k = -14 + -35k + 35k Combine like terms: -32k + 35k = 3k -56 + 3k = -14 + -35k + 35k Combine like terms: -35k + 35k = 0 -56 + 3k = -14 + 0 -56 + 3k = -14 Add '56' to each side of the equation. -56 + 56 + 3k = -14 + 56 Combine like terms: -56 + 56 = 0 0 + 3k = -14 + 56 3k = -14 + 56 Combine like terms: -14 + 56 = 42 3k = 42 Divide each side by '3'. k = 14 Simplifying k = 14
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