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Simplifying 22k + 13 = 8k + 33 Reorder the terms: 13 + 22k = 8k + 33 Reorder the terms: 13 + 22k = 33 + 8k Solving 13 + 22k = 33 + 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. 13 + 22k + -8k = 33 + 8k + -8k Combine like terms: 22k + -8k = 14k 13 + 14k = 33 + 8k + -8k Combine like terms: 8k + -8k = 0 13 + 14k = 33 + 0 13 + 14k = 33 Add '-13' to each side of the equation. 13 + -13 + 14k = 33 + -13 Combine like terms: 13 + -13 = 0 0 + 14k = 33 + -13 14k = 33 + -13 Combine like terms: 33 + -13 = 20 14k = 20 Divide each side by '14'. k = 1.428571429 Simplifying k = 1.428571429
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