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Simplifying 2(3k + 4) + -10k + 8 + 5 = 0 Reorder the terms: 2(4 + 3k) + -10k + 8 + 5 = 0 (4 * 2 + 3k * 2) + -10k + 8 + 5 = 0 (8 + 6k) + -10k + 8 + 5 = 0 Reorder the terms: 8 + 8 + 5 + 6k + -10k = 0 Combine like terms: 8 + 8 = 16 16 + 5 + 6k + -10k = 0 Combine like terms: 16 + 5 = 21 21 + 6k + -10k = 0 Combine like terms: 6k + -10k = -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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