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Simplifying -1(k + 4) + -6k = -3k + 20 Reorder the terms: -1(4 + k) + -6k = -3k + 20 (4 * -1 + k * -1) + -6k = -3k + 20 (-4 + -1k) + -6k = -3k + 20 Combine like terms: -1k + -6k = -7k -4 + -7k = -3k + 20 Reorder the terms: -4 + -7k = 20 + -3k Solving -4 + -7k = 20 + -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. -4 + -7k + 3k = 20 + -3k + 3k Combine like terms: -7k + 3k = -4k -4 + -4k = 20 + -3k + 3k Combine like terms: -3k + 3k = 0 -4 + -4k = 20 + 0 -4 + -4k = 20 Add '4' to each side of the equation. -4 + 4 + -4k = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -4k = 20 + 4 -4k = 20 + 4 Combine like terms: 20 + 4 = 24 -4k = 24 Divide each side by '-4'. k = -6 Simplifying k = -6
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