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Simplifying -8.5 = 3(K + 19.5) + -9.1 Reorder the terms: -8.5 = 3(19.5 + K) + -9.1 -8.5 = (19.5 * 3 + K * 3) + -9.1 -8.5 = (58.5 + 3K) + -9.1 Reorder the terms: -8.5 = 58.5 + -9.1 + 3K Combine like terms: 58.5 + -9.1 = 49.4 -8.5 = 49.4 + 3K Solving -8.5 = 49.4 + 3K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-3K' to each side of the equation. -8.5 + -3K = 49.4 + 3K + -3K Combine like terms: 3K + -3K = 0 -8.5 + -3K = 49.4 + 0 -8.5 + -3K = 49.4 Add '8.5' to each side of the equation. -8.5 + 8.5 + -3K = 49.4 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + -3K = 49.4 + 8.5 -3K = 49.4 + 8.5 Combine like terms: 49.4 + 8.5 = 57.9 -3K = 57.9 Divide each side by '-3'. K = -19.3 Simplifying K = -19.3
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