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Simplifying 75k + 69 = 300k + 200 Reorder the terms: 69 + 75k = 300k + 200 Reorder the terms: 69 + 75k = 200 + 300k Solving 69 + 75k = 200 + 300k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-300k' to each side of the equation. 69 + 75k + -300k = 200 + 300k + -300k Combine like terms: 75k + -300k = -225k 69 + -225k = 200 + 300k + -300k Combine like terms: 300k + -300k = 0 69 + -225k = 200 + 0 69 + -225k = 200 Add '-69' to each side of the equation. 69 + -69 + -225k = 200 + -69 Combine like terms: 69 + -69 = 0 0 + -225k = 200 + -69 -225k = 200 + -69 Combine like terms: 200 + -69 = 131 -225k = 131 Divide each side by '-225'. k = -0.5822222222 Simplifying k = -0.5822222222
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