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Simplifying 14k + 50 = 27k + -41 Reorder the terms: 50 + 14k = 27k + -41 Reorder the terms: 50 + 14k = -41 + 27k Solving 50 + 14k = -41 + 27k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27k' to each side of the equation. 50 + 14k + -27k = -41 + 27k + -27k Combine like terms: 14k + -27k = -13k 50 + -13k = -41 + 27k + -27k Combine like terms: 27k + -27k = 0 50 + -13k = -41 + 0 50 + -13k = -41 Add '-50' to each side of the equation. 50 + -50 + -13k = -41 + -50 Combine like terms: 50 + -50 = 0 0 + -13k = -41 + -50 -13k = -41 + -50 Combine like terms: -41 + -50 = -91 -13k = -91 Divide each side by '-13'. k = 7 Simplifying k = 7
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