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Simplifying 3(2k + 3) + -8k + 9 + 3 = 0 Reorder the terms: 3(3 + 2k) + -8k + 9 + 3 = 0 (3 * 3 + 2k * 3) + -8k + 9 + 3 = 0 (9 + 6k) + -8k + 9 + 3 = 0 Reorder the terms: 9 + 9 + 3 + 6k + -8k = 0 Combine like terms: 9 + 9 = 18 18 + 3 + 6k + -8k = 0 Combine like terms: 18 + 3 = 21 21 + 6k + -8k = 0 Combine like terms: 6k + -8k = -2k 21 + -2k = 0 Solving 21 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2k = 0 + -21 -2k = 0 + -21 Combine like terms: 0 + -21 = -21 -2k = -21 Divide each side by '-2'. k = 10.5 Simplifying k = 10.5
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