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Simplifying 8(7k + -3) = 4(13 + -5k) Reorder the terms: 8(-3 + 7k) = 4(13 + -5k) (-3 * 8 + 7k * 8) = 4(13 + -5k) (-24 + 56k) = 4(13 + -5k) -24 + 56k = (13 * 4 + -5k * 4) -24 + 56k = (52 + -20k) Solving -24 + 56k = 52 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. -24 + 56k + 20k = 52 + -20k + 20k Combine like terms: 56k + 20k = 76k -24 + 76k = 52 + -20k + 20k Combine like terms: -20k + 20k = 0 -24 + 76k = 52 + 0 -24 + 76k = 52 Add '24' to each side of the equation. -24 + 24 + 76k = 52 + 24 Combine like terms: -24 + 24 = 0 0 + 76k = 52 + 24 76k = 52 + 24 Combine like terms: 52 + 24 = 76 76k = 76 Divide each side by '76'. k = 1 Simplifying k = 1
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