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Simplifying -8(7k + -3) = -6(-1k + -4) Reorder the terms: -8(-3 + 7k) = -6(-1k + -4) (-3 * -8 + 7k * -8) = -6(-1k + -4) (24 + -56k) = -6(-1k + -4) Reorder the terms: 24 + -56k = -6(-4 + -1k) 24 + -56k = (-4 * -6 + -1k * -6) 24 + -56k = (24 + 6k) Add '-24' to each side of the equation. 24 + -24 + -56k = 24 + -24 + 6k Combine like terms: 24 + -24 = 0 0 + -56k = 24 + -24 + 6k -56k = 24 + -24 + 6k Combine like terms: 24 + -24 = 0 -56k = 0 + 6k -56k = 6k Solving -56k = 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -56k + -6k = 6k + -6k Combine like terms: -56k + -6k = -62k -62k = 6k + -6k Combine like terms: 6k + -6k = 0 -62k = 0 Divide each side by '-62'. k = 0 Simplifying k = 0
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