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Simplifying 6k + 14 = 5(-4 + 8k) Reorder the terms: 14 + 6k = 5(-4 + 8k) 14 + 6k = (-4 * 5 + 8k * 5) 14 + 6k = (-20 + 40k) Solving 14 + 6k = -20 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 14 + 6k + -40k = -20 + 40k + -40k Combine like terms: 6k + -40k = -34k 14 + -34k = -20 + 40k + -40k Combine like terms: 40k + -40k = 0 14 + -34k = -20 + 0 14 + -34k = -20 Add '-14' to each side of the equation. 14 + -14 + -34k = -20 + -14 Combine like terms: 14 + -14 = 0 0 + -34k = -20 + -14 -34k = -20 + -14 Combine like terms: -20 + -14 = -34 -34k = -34 Divide each side by '-34'. k = 1 Simplifying k = 1
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