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Simplifying 4K + 5 + 7 + 5k = 0 Reorder the terms: 5 + 7 + 4K + 5k = 0 Combine like terms: 5 + 7 = 12 12 + 4K + 5k = 0 Solving 12 + 4K + 5k = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4K + -12 + 5k = 0 + -12 Reorder the terms: 12 + -12 + 4K + 5k = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4K + 5k = 0 + -12 4K + 5k = 0 + -12 Combine like terms: 0 + -12 = -12 4K + 5k = -12 Add '-5k' to each side of the equation. 4K + 5k + -5k = -12 + -5k Combine like terms: 5k + -5k = 0 4K + 0 = -12 + -5k 4K = -12 + -5k Divide each side by '4'. K = -3 + -1.25k Simplifying K = -3 + -1.25k
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