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Simplifying 5(4k + -1) = 22 + 2k Reorder the terms: 5(-1 + 4k) = 22 + 2k (-1 * 5 + 4k * 5) = 22 + 2k (-5 + 20k) = 22 + 2k Solving -5 + 20k = 22 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -5 + 20k + -2k = 22 + 2k + -2k Combine like terms: 20k + -2k = 18k -5 + 18k = 22 + 2k + -2k Combine like terms: 2k + -2k = 0 -5 + 18k = 22 + 0 -5 + 18k = 22 Add '5' to each side of the equation. -5 + 5 + 18k = 22 + 5 Combine like terms: -5 + 5 = 0 0 + 18k = 22 + 5 18k = 22 + 5 Combine like terms: 22 + 5 = 27 18k = 27 Divide each side by '18'. k = 1.5 Simplifying k = 1.5
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