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Simplifying 7(k + -5) = 3(8 + -1k) Reorder the terms: 7(-5 + k) = 3(8 + -1k) (-5 * 7 + k * 7) = 3(8 + -1k) (-35 + 7k) = 3(8 + -1k) -35 + 7k = (8 * 3 + -1k * 3) -35 + 7k = (24 + -3k) Solving -35 + 7k = 24 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -35 + 7k + 3k = 24 + -3k + 3k Combine like terms: 7k + 3k = 10k -35 + 10k = 24 + -3k + 3k Combine like terms: -3k + 3k = 0 -35 + 10k = 24 + 0 -35 + 10k = 24 Add '35' to each side of the equation. -35 + 35 + 10k = 24 + 35 Combine like terms: -35 + 35 = 0 0 + 10k = 24 + 35 10k = 24 + 35 Combine like terms: 24 + 35 = 59 10k = 59 Divide each side by '10'. k = 5.9 Simplifying k = 5.9
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