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Simplifying 0.25 + -12k + 44 = 5 + 15k Reorder the terms: 0.25 + 44 + -12k = 5 + 15k Combine like terms: 0.25 + 44 = 44.25 44.25 + -12k = 5 + 15k Solving 44.25 + -12k = 5 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 44.25 + -12k + -15k = 5 + 15k + -15k Combine like terms: -12k + -15k = -27k 44.25 + -27k = 5 + 15k + -15k Combine like terms: 15k + -15k = 0 44.25 + -27k = 5 + 0 44.25 + -27k = 5 Add '-44.25' to each side of the equation. 44.25 + -44.25 + -27k = 5 + -44.25 Combine like terms: 44.25 + -44.25 = 0.00 0.00 + -27k = 5 + -44.25 -27k = 5 + -44.25 Combine like terms: 5 + -44.25 = -39.25 -27k = -39.25 Divide each side by '-27'. k = 1.453703704 Simplifying k = 1.453703704
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