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Simplifying 3(5k + 3) + -18k + 5 + 5 = 0 Reorder the terms: 3(3 + 5k) + -18k + 5 + 5 = 0 (3 * 3 + 5k * 3) + -18k + 5 + 5 = 0 (9 + 15k) + -18k + 5 + 5 = 0 Reorder the terms: 9 + 5 + 5 + 15k + -18k = 0 Combine like terms: 9 + 5 = 14 14 + 5 + 15k + -18k = 0 Combine like terms: 14 + 5 = 19 19 + 15k + -18k = 0 Combine like terms: 15k + -18k = -3k 19 + -3k = 0 Solving 19 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3k = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3k = 0 + -19 -3k = 0 + -19 Combine like terms: 0 + -19 = -19 -3k = -19 Divide each side by '-3'. k = 6.333333333 Simplifying k = 6.333333333
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