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Simplifying 4k + -1 = 7k + 17 Reorder the terms: -1 + 4k = 7k + 17 Reorder the terms: -1 + 4k = 17 + 7k Solving -1 + 4k = 17 + 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 + 4k + -7k = 17 + 7k + -7k Combine like terms: 4k + -7k = -3k -1 + -3k = 17 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + -3k = 17 + 0 -1 + -3k = 17 Add '1' to each side of the equation. -1 + 1 + -3k = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -3k = 17 + 1 -3k = 17 + 1 Combine like terms: 17 + 1 = 18 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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