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Simplifying 10k + -14 = 2(13 + -5k) Reorder the terms: -14 + 10k = 2(13 + -5k) -14 + 10k = (13 * 2 + -5k * 2) -14 + 10k = (26 + -10k) Solving -14 + 10k = 26 + -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 + 10k + 10k = 26 + -10k + 10k Combine like terms: 10k + 10k = 20k -14 + 20k = 26 + -10k + 10k Combine like terms: -10k + 10k = 0 -14 + 20k = 26 + 0 -14 + 20k = 26 Add '14' to each side of the equation. -14 + 14 + 20k = 26 + 14 Combine like terms: -14 + 14 = 0 0 + 20k = 26 + 14 20k = 26 + 14 Combine like terms: 26 + 14 = 40 20k = 40 Divide each side by '20'. k = 2 Simplifying k = 2
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