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Simplifying 5k + -1 = 11 + 3k + 4k Reorder the terms: -1 + 5k = 11 + 3k + 4k Combine like terms: 3k + 4k = 7k -1 + 5k = 11 + 7k Solving -1 + 5k = 11 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -1 + 5k + -7k = 11 + 7k + -7k Combine like terms: 5k + -7k = -2k -1 + -2k = 11 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + -2k = 11 + 0 -1 + -2k = 11 Add '1' to each side of the equation. -1 + 1 + -2k = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -2k = 11 + 1 -2k = 11 + 1 Combine like terms: 11 + 1 = 12 -2k = 12 Divide each side by '-2'. k = -6 Simplifying k = -6
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