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Simplifying -14 + -8k = -2(5k + -1) Reorder the terms: -14 + -8k = -2(-1 + 5k) -14 + -8k = (-1 * -2 + 5k * -2) -14 + -8k = (2 + -10k) Solving -14 + -8k = 2 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. -14 + -8k + 10k = 2 + -10k + 10k Combine like terms: -8k + 10k = 2k -14 + 2k = 2 + -10k + 10k Combine like terms: -10k + 10k = 0 -14 + 2k = 2 + 0 -14 + 2k = 2 Add '14' to each side of the equation. -14 + 14 + 2k = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 2k = 2 + 14 2k = 2 + 14 Combine like terms: 2 + 14 = 16 2k = 16 Divide each side by '2'. k = 8 Simplifying k = 8
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