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Simplifying 5(2k + -9) = 26 + -8k Reorder the terms: 5(-9 + 2k) = 26 + -8k (-9 * 5 + 2k * 5) = 26 + -8k (-45 + 10k) = 26 + -8k Solving -45 + 10k = 26 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -45 + 10k + 8k = 26 + -8k + 8k Combine like terms: 10k + 8k = 18k -45 + 18k = 26 + -8k + 8k Combine like terms: -8k + 8k = 0 -45 + 18k = 26 + 0 -45 + 18k = 26 Add '45' to each side of the equation. -45 + 45 + 18k = 26 + 45 Combine like terms: -45 + 45 = 0 0 + 18k = 26 + 45 18k = 26 + 45 Combine like terms: 26 + 45 = 71 18k = 71 Divide each side by '18'. k = 3.944444444 Simplifying k = 3.944444444
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