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Simplifying -2(2k + 10) + -5k = 0 Reorder the terms: -2(10 + 2k) + -5k = 0 (10 * -2 + 2k * -2) + -5k = 0 (-20 + -4k) + -5k = 0 Combine like terms: -4k + -5k = -9k -20 + -9k = 0 Solving -20 + -9k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -9k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -9k = 0 + 20 -9k = 0 + 20 Combine like terms: 0 + 20 = 20 -9k = 20 Divide each side by '-9'. k = -2.222222222 Simplifying k = -2.222222222
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