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Simplifying 5(4K + -3) + -5k = 10 + 2(3k + 1) Reorder the terms: 5(-3 + 4K) + -5k = 10 + 2(3k + 1) (-3 * 5 + 4K * 5) + -5k = 10 + 2(3k + 1) (-15 + 20K) + -5k = 10 + 2(3k + 1) Reorder the terms: -15 + 20K + -5k = 10 + 2(1 + 3k) -15 + 20K + -5k = 10 + (1 * 2 + 3k * 2) -15 + 20K + -5k = 10 + (2 + 6k) Combine like terms: 10 + 2 = 12 -15 + 20K + -5k = 12 + 6k Solving -15 + 20K + -5k = 12 + 6k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 20K + 15 + -5k = 12 + 15 + 6k Reorder the terms: -15 + 15 + 20K + -5k = 12 + 15 + 6k Combine like terms: -15 + 15 = 0 0 + 20K + -5k = 12 + 15 + 6k 20K + -5k = 12 + 15 + 6k Combine like terms: 12 + 15 = 27 20K + -5k = 27 + 6k Add '5k' to each side of the equation. 20K + -5k + 5k = 27 + 6k + 5k Combine like terms: -5k + 5k = 0 20K + 0 = 27 + 6k + 5k 20K = 27 + 6k + 5k Combine like terms: 6k + 5k = 11k 20K = 27 + 11k Divide each side by '20'. K = 1.35 + 0.55k Simplifying K = 1.35 + 0.55k
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