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Simplifying 150k = [(50)(q)] + -1[25q + 50k] Reorder the terms: 150k = [50q] + -1[50k + 25q] 150k = [50q] + [50k * -1 + 25q * -1] 150k = [50q] + [-50k + -25q] Reorder the terms: 150k = -50k + [50q] + -25q Combine like terms: [50q] + -25q = 25q 150k = -50k + 25q Solving 150k = -50k + 25q Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '50k' to each side of the equation. 150k + 50k = -50k + 50k + 25q Combine like terms: 150k + 50k = 200k 200k = -50k + 50k + 25q Combine like terms: -50k + 50k = 0 200k = 0 + 25q 200k = 25q Divide each side by '200'. k = 0.125q Simplifying k = 0.125q
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