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Simplifying (K + 3) + -2(3k + -7) = 5k + -1(k + 3) Reorder the terms: (3 + K) + -2(3k + -7) = 5k + -1(k + 3) Remove parenthesis around (3 + K) 3 + K + -2(3k + -7) = 5k + -1(k + 3) Reorder the terms: 3 + K + -2(-7 + 3k) = 5k + -1(k + 3) 3 + K + (-7 * -2 + 3k * -2) = 5k + -1(k + 3) 3 + K + (14 + -6k) = 5k + -1(k + 3) Reorder the terms: 3 + 14 + K + -6k = 5k + -1(k + 3) Combine like terms: 3 + 14 = 17 17 + K + -6k = 5k + -1(k + 3) Reorder the terms: 17 + K + -6k = 5k + -1(3 + k) 17 + K + -6k = 5k + (3 * -1 + k * -1) 17 + K + -6k = 5k + (-3 + -1k) Reorder the terms: 17 + K + -6k = -3 + 5k + -1k Combine like terms: 5k + -1k = 4k 17 + K + -6k = -3 + 4k Solving 17 + K + -6k = -3 + 4k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + K + -17 + -6k = -3 + -17 + 4k Reorder the terms: 17 + -17 + K + -6k = -3 + -17 + 4k Combine like terms: 17 + -17 = 0 0 + K + -6k = -3 + -17 + 4k K + -6k = -3 + -17 + 4k Combine like terms: -3 + -17 = -20 K + -6k = -20 + 4k Add '6k' to each side of the equation. K + -6k + 6k = -20 + 4k + 6k Combine like terms: -6k + 6k = 0 K + 0 = -20 + 4k + 6k K = -20 + 4k + 6k Combine like terms: 4k + 6k = 10k K = -20 + 10k Simplifying K = -20 + 10k
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