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Simplifying -5 + -5k = -1(k + -4) + -7k Reorder the terms: -5 + -5k = -1(-4 + k) + -7k -5 + -5k = (-4 * -1 + k * -1) + -7k -5 + -5k = (4 + -1k) + -7k Combine like terms: -1k + -7k = -8k -5 + -5k = 4 + -8k Solving -5 + -5k = 4 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -5 + -5k + 8k = 4 + -8k + 8k Combine like terms: -5k + 8k = 3k -5 + 3k = 4 + -8k + 8k Combine like terms: -8k + 8k = 0 -5 + 3k = 4 + 0 -5 + 3k = 4 Add '5' to each side of the equation. -5 + 5 + 3k = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 3k = 4 + 5 3k = 4 + 5 Combine like terms: 4 + 5 = 9 3k = 9 Divide each side by '3'. k = 3 Simplifying k = 3
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