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Simplifying 7k + -6 = k + -5 + 4k Reorder the terms: -6 + 7k = k + -5 + 4k Reorder the terms: -6 + 7k = -5 + k + 4k Combine like terms: k + 4k = 5k -6 + 7k = -5 + 5k Solving -6 + 7k = -5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -6 + 7k + -5k = -5 + 5k + -5k Combine like terms: 7k + -5k = 2k -6 + 2k = -5 + 5k + -5k Combine like terms: 5k + -5k = 0 -6 + 2k = -5 + 0 -6 + 2k = -5 Add '6' to each side of the equation. -6 + 6 + 2k = -5 + 6 Combine like terms: -6 + 6 = 0 0 + 2k = -5 + 6 2k = -5 + 6 Combine like terms: -5 + 6 = 1 2k = 1 Divide each side by '2'. k = 0.5 Simplifying k = 0.5
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