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Simplifying 6k + -3(k + -8) = 162 Reorder the terms: 6k + -3(-8 + k) = 162 6k + (-8 * -3 + k * -3) = 162 6k + (24 + -3k) = 162 Reorder the terms: 24 + 6k + -3k = 162 Combine like terms: 6k + -3k = 3k 24 + 3k = 162 Solving 24 + 3k = 162 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 + 3k = 162 + -24 Combine like terms: 24 + -24 = 0 0 + 3k = 162 + -24 3k = 162 + -24 Combine like terms: 162 + -24 = 138 3k = 138 Divide each side by '3'. k = 46 Simplifying k = 46
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