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Simplifying 4 + 1 = 2k + -3 + 7k Combine like terms: 4 + 1 = 5 5 = 2k + -3 + 7k Reorder the terms: 5 = -3 + 2k + 7k Combine like terms: 2k + 7k = 9k 5 = -3 + 9k Solving 5 = -3 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 5 + -9k = -3 + 9k + -9k Combine like terms: 9k + -9k = 0 5 + -9k = -3 + 0 5 + -9k = -3 Add '-5' to each side of the equation. 5 + -5 + -9k = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -9k = -3 + -5 -9k = -3 + -5 Combine like terms: -3 + -5 = -8 -9k = -8 Divide each side by '-9'. k = 0.8888888889 Simplifying k = 0.8888888889
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