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Simplifying -112 = 4K + 5(1 + 7k) -112 = 4K + (1 * 5 + 7k * 5) -112 = 4K + (5 + 35k) Reorder the terms: -112 = 5 + 4K + 35k Solving -112 = 5 + 4K + 35k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '-4K' to each side of the equation. -112 + -4K = 5 + 4K + -4K + 35k Combine like terms: 4K + -4K = 0 -112 + -4K = 5 + 0 + 35k -112 + -4K = 5 + 35k Add '112' to each side of the equation. -112 + 112 + -4K = 5 + 112 + 35k Combine like terms: -112 + 112 = 0 0 + -4K = 5 + 112 + 35k -4K = 5 + 112 + 35k Combine like terms: 5 + 112 = 117 -4K = 117 + 35k Divide each side by '-4'. K = -29.25 + -8.75k Simplifying K = -29.25 + -8.75k
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