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Simplifying 7k + -1k = 8(k + -1) + 3(8 + 2k) Combine like terms: 7k + -1k = 6k 6k = 8(k + -1) + 3(8 + 2k) Reorder the terms: 6k = 8(-1 + k) + 3(8 + 2k) 6k = (-1 * 8 + k * 8) + 3(8 + 2k) 6k = (-8 + 8k) + 3(8 + 2k) 6k = -8 + 8k + (8 * 3 + 2k * 3) 6k = -8 + 8k + (24 + 6k) Reorder the terms: 6k = -8 + 24 + 8k + 6k Combine like terms: -8 + 24 = 16 6k = 16 + 8k + 6k Combine like terms: 8k + 6k = 14k 6k = 16 + 14k Solving 6k = 16 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 6k + -14k = 16 + 14k + -14k Combine like terms: 6k + -14k = -8k -8k = 16 + 14k + -14k Combine like terms: 14k + -14k = 0 -8k = 16 + 0 -8k = 16 Divide each side by '-8'. k = -2 Simplifying k = -2
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