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Simplifying 5k + -20 + -7k = 27 + -22k + 9 Reorder the terms: -20 + 5k + -7k = 27 + -22k + 9 Combine like terms: 5k + -7k = -2k -20 + -2k = 27 + -22k + 9 Reorder the terms: -20 + -2k = 27 + 9 + -22k Combine like terms: 27 + 9 = 36 -20 + -2k = 36 + -22k Solving -20 + -2k = 36 + -22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22k' to each side of the equation. -20 + -2k + 22k = 36 + -22k + 22k Combine like terms: -2k + 22k = 20k -20 + 20k = 36 + -22k + 22k Combine like terms: -22k + 22k = 0 -20 + 20k = 36 + 0 -20 + 20k = 36 Add '20' to each side of the equation. -20 + 20 + 20k = 36 + 20 Combine like terms: -20 + 20 = 0 0 + 20k = 36 + 20 20k = 36 + 20 Combine like terms: 36 + 20 = 56 20k = 56 Divide each side by '20'. k = 2.8 Simplifying k = 2.8
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