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Simplifying K + -10 + 5k = 2(k + 3) Reorder the terms: -10 + K + 5k = 2(k + 3) Reorder the terms: -10 + K + 5k = 2(3 + k) -10 + K + 5k = (3 * 2 + k * 2) -10 + K + 5k = (6 + 2k) Solving -10 + K + 5k = 6 + 2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '10' to each side of the equation. -10 + K + 10 + 5k = 6 + 10 + 2k Reorder the terms: -10 + 10 + K + 5k = 6 + 10 + 2k Combine like terms: -10 + 10 = 0 0 + K + 5k = 6 + 10 + 2k K + 5k = 6 + 10 + 2k Combine like terms: 6 + 10 = 16 K + 5k = 16 + 2k Add '-5k' to each side of the equation. K + 5k + -5k = 16 + 2k + -5k Combine like terms: 5k + -5k = 0 K + 0 = 16 + 2k + -5k K = 16 + 2k + -5k Combine like terms: 2k + -5k = -3k K = 16 + -3k Simplifying K = 16 + -3k
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