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Simplifying -22 + 8k = 6(7k + 5) Reorder the terms: -22 + 8k = 6(5 + 7k) -22 + 8k = (5 * 6 + 7k * 6) -22 + 8k = (30 + 42k) Solving -22 + 8k = 30 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -22 + 8k + -42k = 30 + 42k + -42k Combine like terms: 8k + -42k = -34k -22 + -34k = 30 + 42k + -42k Combine like terms: 42k + -42k = 0 -22 + -34k = 30 + 0 -22 + -34k = 30 Add '22' to each side of the equation. -22 + 22 + -34k = 30 + 22 Combine like terms: -22 + 22 = 0 0 + -34k = 30 + 22 -34k = 30 + 22 Combine like terms: 30 + 22 = 52 -34k = 52 Divide each side by '-34'. k = -1.529411765 Simplifying k = -1.529411765
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