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Simplifying 2(1 + 9k) + -10k = 0 (1 * 2 + 9k * 2) + -10k = 0 (2 + 18k) + -10k = 0 Combine like terms: 18k + -10k = 8k 2 + 8k = 0 Solving 2 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8k = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 8k = 0 + -2 8k = 0 + -2 Combine like terms: 0 + -2 = -2 8k = -2 Divide each side by '8'. k = -0.25 Simplifying k = -0.25
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