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Simplifying 8k + -4 + -2k = 7(5 + -1k) Reorder the terms: -4 + 8k + -2k = 7(5 + -1k) Combine like terms: 8k + -2k = 6k -4 + 6k = 7(5 + -1k) -4 + 6k = (5 * 7 + -1k * 7) -4 + 6k = (35 + -7k) Solving -4 + 6k = 35 + -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. -4 + 6k + 7k = 35 + -7k + 7k Combine like terms: 6k + 7k = 13k -4 + 13k = 35 + -7k + 7k Combine like terms: -7k + 7k = 0 -4 + 13k = 35 + 0 -4 + 13k = 35 Add '4' to each side of the equation. -4 + 4 + 13k = 35 + 4 Combine like terms: -4 + 4 = 0 0 + 13k = 35 + 4 13k = 35 + 4 Combine like terms: 35 + 4 = 39 13k = 39 Divide each side by '13'. k = 3 Simplifying k = 3
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