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Simplifying -6 + 5(6 + 2k) = 84 -6 + (6 * 5 + 2k * 5) = 84 -6 + (30 + 10k) = 84 Combine like terms: -6 + 30 = 24 24 + 10k = 84 Solving 24 + 10k = 84 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10k = 84 + -24 Combine like terms: 24 + -24 = 0 0 + 10k = 84 + -24 10k = 84 + -24 Combine like terms: 84 + -24 = 60 10k = 60 Divide each side by '10'. k = 6 Simplifying k = 6
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