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Simplifying 10k + 11 + 4K + 3 = -9(-7k + -12) + -5(-1 + 12k) Reorder the terms: 11 + 3 + 4K + 10k = -9(-7k + -12) + -5(-1 + 12k) Combine like terms: 11 + 3 = 14 14 + 4K + 10k = -9(-7k + -12) + -5(-1 + 12k) Reorder the terms: 14 + 4K + 10k = -9(-12 + -7k) + -5(-1 + 12k) 14 + 4K + 10k = (-12 * -9 + -7k * -9) + -5(-1 + 12k) 14 + 4K + 10k = (108 + 63k) + -5(-1 + 12k) 14 + 4K + 10k = 108 + 63k + (-1 * -5 + 12k * -5) 14 + 4K + 10k = 108 + 63k + (5 + -60k) Reorder the terms: 14 + 4K + 10k = 108 + 5 + 63k + -60k Combine like terms: 108 + 5 = 113 14 + 4K + 10k = 113 + 63k + -60k Combine like terms: 63k + -60k = 3k 14 + 4K + 10k = 113 + 3k Solving 14 + 4K + 10k = 113 + 3k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 4K + -14 + 10k = 113 + -14 + 3k Reorder the terms: 14 + -14 + 4K + 10k = 113 + -14 + 3k Combine like terms: 14 + -14 = 0 0 + 4K + 10k = 113 + -14 + 3k 4K + 10k = 113 + -14 + 3k Combine like terms: 113 + -14 = 99 4K + 10k = 99 + 3k Add '-10k' to each side of the equation. 4K + 10k + -10k = 99 + 3k + -10k Combine like terms: 10k + -10k = 0 4K + 0 = 99 + 3k + -10k 4K = 99 + 3k + -10k Combine like terms: 3k + -10k = -7k 4K = 99 + -7k Divide each side by '4'. K = 24.75 + -1.75k Simplifying K = 24.75 + -1.75k
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