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Simplifying 3(5k + 3) + -18k + 9 + 4 = 0 Reorder the terms: 3(3 + 5k) + -18k + 9 + 4 = 0 (3 * 3 + 5k * 3) + -18k + 9 + 4 = 0 (9 + 15k) + -18k + 9 + 4 = 0 Reorder the terms: 9 + 9 + 4 + 15k + -18k = 0 Combine like terms: 9 + 9 = 18 18 + 4 + 15k + -18k = 0 Combine like terms: 18 + 4 = 22 22 + 15k + -18k = 0 Combine like terms: 15k + -18k = -3k 22 + -3k = 0 Solving 22 + -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -3k = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -3k = 0 + -22 -3k = 0 + -22 Combine like terms: 0 + -22 = -22 -3k = -22 Divide each side by '-3'. k = 7.333333333 Simplifying k = 7.333333333
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