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Simplifying -2(4k + -2) + -2(5k + -2) = 0 Reorder the terms: -2(-2 + 4k) + -2(5k + -2) = 0 (-2 * -2 + 4k * -2) + -2(5k + -2) = 0 (4 + -8k) + -2(5k + -2) = 0 Reorder the terms: 4 + -8k + -2(-2 + 5k) = 0 4 + -8k + (-2 * -2 + 5k * -2) = 0 4 + -8k + (4 + -10k) = 0 Reorder the terms: 4 + 4 + -8k + -10k = 0 Combine like terms: 4 + 4 = 8 8 + -8k + -10k = 0 Combine like terms: -8k + -10k = -18k 8 + -18k = 0 Solving 8 + -18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -18k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -18k = 0 + -8 -18k = 0 + -8 Combine like terms: 0 + -8 = -8 -18k = -8 Divide each side by '-18'. k = 0.4444444444 Simplifying k = 0.4444444444
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