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Simplifying 2(4k + 5) + -12k + 9 + 2 = 0 Reorder the terms: 2(5 + 4k) + -12k + 9 + 2 = 0 (5 * 2 + 4k * 2) + -12k + 9 + 2 = 0 (10 + 8k) + -12k + 9 + 2 = 0 Reorder the terms: 10 + 9 + 2 + 8k + -12k = 0 Combine like terms: 10 + 9 = 19 19 + 2 + 8k + -12k = 0 Combine like terms: 19 + 2 = 21 21 + 8k + -12k = 0 Combine like terms: 8k + -12k = -4k 21 + -4k = 0 Solving 21 + -4k = 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 + -4k = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -4k = 0 + -21 -4k = 0 + -21 Combine like terms: 0 + -21 = -21 -4k = -21 Divide each side by '-4'. k = 5.25 Simplifying k = 5.25
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