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Simplifying 394k + 14 = 10k + -2(k + -7) Reorder the terms: 14 + 394k = 10k + -2(k + -7) Reorder the terms: 14 + 394k = 10k + -2(-7 + k) 14 + 394k = 10k + (-7 * -2 + k * -2) 14 + 394k = 10k + (14 + -2k) Reorder the terms: 14 + 394k = 14 + 10k + -2k Combine like terms: 10k + -2k = 8k 14 + 394k = 14 + 8k Add '-14' to each side of the equation. 14 + -14 + 394k = 14 + -14 + 8k Combine like terms: 14 + -14 = 0 0 + 394k = 14 + -14 + 8k 394k = 14 + -14 + 8k Combine like terms: 14 + -14 = 0 394k = 0 + 8k 394k = 8k Solving 394k = 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. 394k + -8k = 8k + -8k Combine like terms: 394k + -8k = 386k 386k = 8k + -8k Combine like terms: 8k + -8k = 0 386k = 0 Divide each side by '386'. k = 0 Simplifying k = 0
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