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Simplifying 7k = 3(5k + -8) Reorder the terms: 7k = 3(-8 + 5k) 7k = (-8 * 3 + 5k * 3) 7k = (-24 + 15k) Solving 7k = -24 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 7k + -15k = -24 + 15k + -15k Combine like terms: 7k + -15k = -8k -8k = -24 + 15k + -15k Combine like terms: 15k + -15k = 0 -8k = -24 + 0 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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