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Simplifying 18k + -3(4k + 5) = 2 Reorder the terms: 18k + -3(5 + 4k) = 2 18k + (5 * -3 + 4k * -3) = 2 18k + (-15 + -12k) = 2 Reorder the terms: -15 + 18k + -12k = 2 Combine like terms: 18k + -12k = 6k -15 + 6k = 2 Solving -15 + 6k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6k = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 6k = 2 + 15 6k = 2 + 15 Combine like terms: 2 + 15 = 17 6k = 17 Divide each side by '6'. k = 2.833333333 Simplifying k = 2.833333333
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