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Simplifying 5(4 + -2k) + -4K = 90 (4 * 5 + -2k * 5) + -4K = 90 (20 + -10k) + -4K = 90 Reorder the terms: 20 + -4K + -10k = 90 Solving 20 + -4K + -10k = 90 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -4K + -20 + -10k = 90 + -20 Reorder the terms: 20 + -20 + -4K + -10k = 90 + -20 Combine like terms: 20 + -20 = 0 0 + -4K + -10k = 90 + -20 -4K + -10k = 90 + -20 Combine like terms: 90 + -20 = 70 -4K + -10k = 70 Add '10k' to each side of the equation. -4K + -10k + 10k = 70 + 10k Combine like terms: -10k + 10k = 0 -4K + 0 = 70 + 10k -4K = 70 + 10k Divide each side by '-4'. K = -17.5 + -2.5k Simplifying K = -17.5 + -2.5k
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