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Simplifying 2(5k + 2) + -14k + 9 + 2 = 0 Reorder the terms: 2(2 + 5k) + -14k + 9 + 2 = 0 (2 * 2 + 5k * 2) + -14k + 9 + 2 = 0 (4 + 10k) + -14k + 9 + 2 = 0 Reorder the terms: 4 + 9 + 2 + 10k + -14k = 0 Combine like terms: 4 + 9 = 13 13 + 2 + 10k + -14k = 0 Combine like terms: 13 + 2 = 15 15 + 10k + -14k = 0 Combine like terms: 10k + -14k = -4k 15 + -4k = 0 Solving 15 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4k = 0 + -15 -4k = 0 + -15 Combine like terms: 0 + -15 = -15 -4k = -15 Divide each side by '-4'. k = 3.75 Simplifying k = 3.75
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