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Simplifying 3(5k + 3) + -18k + 6 + 2 = 0 Reorder the terms: 3(3 + 5k) + -18k + 6 + 2 = 0 (3 * 3 + 5k * 3) + -18k + 6 + 2 = 0 (9 + 15k) + -18k + 6 + 2 = 0 Reorder the terms: 9 + 6 + 2 + 15k + -18k = 0 Combine like terms: 9 + 6 = 15 15 + 2 + 15k + -18k = 0 Combine like terms: 15 + 2 = 17 17 + 15k + -18k = 0 Combine like terms: 15k + -18k = -3k 17 + -3k = 0 Solving 17 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -3k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = 0 + -17 -3k = 0 + -17 Combine like terms: 0 + -17 = -17 -3k = -17 Divide each side by '-3'. k = 5.666666667 Simplifying k = 5.666666667
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