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Simplifying -4(5 + -2k) = -13 + 7k (5 * -4 + -2k * -4) = -13 + 7k (-20 + 8k) = -13 + 7k Solving -20 + 8k = -13 + 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. -20 + 8k + -7k = -13 + 7k + -7k Combine like terms: 8k + -7k = 1k -20 + 1k = -13 + 7k + -7k Combine like terms: 7k + -7k = 0 -20 + 1k = -13 + 0 -20 + 1k = -13 Add '20' to each side of the equation. -20 + 20 + 1k = -13 + 20 Combine like terms: -20 + 20 = 0 0 + 1k = -13 + 20 1k = -13 + 20 Combine like terms: -13 + 20 = 7 1k = 7 Divide each side by '1'. k = 7 Simplifying k = 7
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