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Simplifying -4(2 + 3k) + 5k = 13 (2 * -4 + 3k * -4) + 5k = 13 (-8 + -12k) + 5k = 13 Combine like terms: -12k + 5k = -7k -8 + -7k = 13 Solving -8 + -7k = 13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7k = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -7k = 13 + 8 -7k = 13 + 8 Combine like terms: 13 + 8 = 21 -7k = 21 Divide each side by '-7'. k = -3 Simplifying k = -3
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