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Simplifying -2k + -1(-5k + -3) = 8k + -1(k + 5) Reorder the terms: -2k + -1(-3 + -5k) = 8k + -1(k + 5) -2k + (-3 * -1 + -5k * -1) = 8k + -1(k + 5) -2k + (3 + 5k) = 8k + -1(k + 5) Reorder the terms: 3 + -2k + 5k = 8k + -1(k + 5) Combine like terms: -2k + 5k = 3k 3 + 3k = 8k + -1(k + 5) Reorder the terms: 3 + 3k = 8k + -1(5 + k) 3 + 3k = 8k + (5 * -1 + k * -1) 3 + 3k = 8k + (-5 + -1k) Reorder the terms: 3 + 3k = -5 + 8k + -1k Combine like terms: 8k + -1k = 7k 3 + 3k = -5 + 7k Solving 3 + 3k = -5 + 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. 3 + 3k + -7k = -5 + 7k + -7k Combine like terms: 3k + -7k = -4k 3 + -4k = -5 + 7k + -7k Combine like terms: 7k + -7k = 0 3 + -4k = -5 + 0 3 + -4k = -5 Add '-3' to each side of the equation. 3 + -3 + -4k = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = -5 + -3 -4k = -5 + -3 Combine like terms: -5 + -3 = -8 -4k = -8 Divide each side by '-4'. k = 2 Simplifying k = 2
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