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Simplifying -10k + -3 + 2(5 + 6k) = 0 -10k + -3 + (5 * 2 + 6k * 2) = 0 -10k + -3 + (10 + 12k) = 0 Reorder the terms: -3 + 10 + -10k + 12k = 0 Combine like terms: -3 + 10 = 7 7 + -10k + 12k = 0 Combine like terms: -10k + 12k = 2k 7 + 2k = 0 Solving 7 + 2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2k = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2k = 0 + -7 2k = 0 + -7 Combine like terms: 0 + -7 = -7 2k = -7 Divide each side by '2'. k = -3.5 Simplifying k = -3.5
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