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Simplifying 5k + 40 = 9k + -27 Reorder the terms: 40 + 5k = 9k + -27 Reorder the terms: 40 + 5k = -27 + 9k Solving 40 + 5k = -27 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 40 + 5k + -9k = -27 + 9k + -9k Combine like terms: 5k + -9k = -4k 40 + -4k = -27 + 9k + -9k Combine like terms: 9k + -9k = 0 40 + -4k = -27 + 0 40 + -4k = -27 Add '-40' to each side of the equation. 40 + -40 + -4k = -27 + -40 Combine like terms: 40 + -40 = 0 0 + -4k = -27 + -40 -4k = -27 + -40 Combine like terms: -27 + -40 = -67 -4k = -67 Divide each side by '-4'. k = 16.75 Simplifying k = 16.75
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