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Simplifying 5[K + -2] = 10[3K + 9] Reorder the terms: 5[-2 + K] = 10[3K + 9] [-2 * 5 + K * 5] = 10[3K + 9] [-10 + 5K] = 10[3K + 9] Reorder the terms: -10 + 5K = 10[9 + 3K] -10 + 5K = [9 * 10 + 3K * 10] -10 + 5K = [90 + 30K] Solving -10 + 5K = 90 + 30K Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-30K' to each side of the equation. -10 + 5K + -30K = 90 + 30K + -30K Combine like terms: 5K + -30K = -25K -10 + -25K = 90 + 30K + -30K Combine like terms: 30K + -30K = 0 -10 + -25K = 90 + 0 -10 + -25K = 90 Add '10' to each side of the equation. -10 + 10 + -25K = 90 + 10 Combine like terms: -10 + 10 = 0 0 + -25K = 90 + 10 -25K = 90 + 10 Combine like terms: 90 + 10 = 100 -25K = 100 Divide each side by '-25'. K = -4 Simplifying K = -4
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