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Simplifying -5(2k + -8) = -3k + -9 Reorder the terms: -5(-8 + 2k) = -3k + -9 (-8 * -5 + 2k * -5) = -3k + -9 (40 + -10k) = -3k + -9 Reorder the terms: 40 + -10k = -9 + -3k Solving 40 + -10k = -9 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 40 + -10k + 3k = -9 + -3k + 3k Combine like terms: -10k + 3k = -7k 40 + -7k = -9 + -3k + 3k Combine like terms: -3k + 3k = 0 40 + -7k = -9 + 0 40 + -7k = -9 Add '-40' to each side of the equation. 40 + -40 + -7k = -9 + -40 Combine like terms: 40 + -40 = 0 0 + -7k = -9 + -40 -7k = -9 + -40 Combine like terms: -9 + -40 = -49 -7k = -49 Divide each side by '-7'. k = 7 Simplifying k = 7
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