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Simplifying 75 = 6k + -15 Reorder the terms: 75 = -15 + 6k Solving 75 = -15 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 75 + -6k = -15 + 6k + -6k Combine like terms: 6k + -6k = 0 75 + -6k = -15 + 0 75 + -6k = -15 Add '-75' to each side of the equation. 75 + -75 + -6k = -15 + -75 Combine like terms: 75 + -75 = 0 0 + -6k = -15 + -75 -6k = -15 + -75 Combine like terms: -15 + -75 = -90 -6k = -90 Divide each side by '-6'. k = 15 Simplifying k = 15
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