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Simplifying 2(4k + 5) + -12k + 4 + 3 = 0 Reorder the terms: 2(5 + 4k) + -12k + 4 + 3 = 0 (5 * 2 + 4k * 2) + -12k + 4 + 3 = 0 (10 + 8k) + -12k + 4 + 3 = 0 Reorder the terms: 10 + 4 + 3 + 8k + -12k = 0 Combine like terms: 10 + 4 = 14 14 + 3 + 8k + -12k = 0 Combine like terms: 14 + 3 = 17 17 + 8k + -12k = 0 Combine like terms: 8k + -12k = -4k 17 + -4k = 0 Solving 17 + -4k = 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 + -4k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -4k = 0 + -17 -4k = 0 + -17 Combine like terms: 0 + -17 = -17 -4k = -17 Divide each side by '-4'. k = 4.25 Simplifying k = 4.25
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