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Simplifying 40 + 14K = 2(-4k + -13) Reorder the terms: 40 + 14K = 2(-13 + -4k) 40 + 14K = (-13 * 2 + -4k * 2) 40 + 14K = (-26 + -8k) Solving 40 + 14K = -26 + -8k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 14K = -26 + -40 + -8k Combine like terms: 40 + -40 = 0 0 + 14K = -26 + -40 + -8k 14K = -26 + -40 + -8k Combine like terms: -26 + -40 = -66 14K = -66 + -8k Divide each side by '14'. K = -4.714285714 + -0.5714285714k Simplifying K = -4.714285714 + -0.5714285714k
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