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Simplifying 22 + 2k = 8(7k + 6) Reorder the terms: 22 + 2k = 8(6 + 7k) 22 + 2k = (6 * 8 + 7k * 8) 22 + 2k = (48 + 56k) Solving 22 + 2k = 48 + 56k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56k' to each side of the equation. 22 + 2k + -56k = 48 + 56k + -56k Combine like terms: 2k + -56k = -54k 22 + -54k = 48 + 56k + -56k Combine like terms: 56k + -56k = 0 22 + -54k = 48 + 0 22 + -54k = 48 Add '-22' to each side of the equation. 22 + -22 + -54k = 48 + -22 Combine like terms: 22 + -22 = 0 0 + -54k = 48 + -22 -54k = 48 + -22 Combine like terms: 48 + -22 = 26 -54k = 26 Divide each side by '-54'. k = -0.4814814815 Simplifying k = -0.4814814815
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