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Simplifying -100k + -30 = -75 + -50k Reorder the terms: -30 + -100k = -75 + -50k Solving -30 + -100k = -75 + -50k 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. -30 + -100k + 50k = -75 + -50k + 50k Combine like terms: -100k + 50k = -50k -30 + -50k = -75 + -50k + 50k Combine like terms: -50k + 50k = 0 -30 + -50k = -75 + 0 -30 + -50k = -75 Add '30' to each side of the equation. -30 + 30 + -50k = -75 + 30 Combine like terms: -30 + 30 = 0 0 + -50k = -75 + 30 -50k = -75 + 30 Combine like terms: -75 + 30 = -45 -50k = -45 Divide each side by '-50'. k = 0.9 Simplifying k = 0.9
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