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Simplifying 40 + 8k = -7(-6 + -1k) 40 + 8k = (-6 * -7 + -1k * -7) 40 + 8k = (42 + 7k) Solving 40 + 8k = 42 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 40 + 8k + -7k = 42 + 7k + -7k Combine like terms: 8k + -7k = 1k 40 + 1k = 42 + 7k + -7k Combine like terms: 7k + -7k = 0 40 + 1k = 42 + 0 40 + 1k = 42 Add '-40' to each side of the equation. 40 + -40 + 1k = 42 + -40 Combine like terms: 40 + -40 = 0 0 + 1k = 42 + -40 1k = 42 + -40 Combine like terms: 42 + -40 = 2 1k = 2 Divide each side by '1'. k = 2 Simplifying k = 2
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