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Simplifying 3k + -1 = 7k + 2 + 1 Reorder the terms: -1 + 3k = 7k + 2 + 1 Reorder the terms: -1 + 3k = 2 + 1 + 7k Combine like terms: 2 + 1 = 3 -1 + 3k = 3 + 7k Solving -1 + 3k = 3 + 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 + 3k + -7k = 3 + 7k + -7k Combine like terms: 3k + -7k = -4k -1 + -4k = 3 + 7k + -7k Combine like terms: 7k + -7k = 0 -1 + -4k = 3 + 0 -1 + -4k = 3 Add '1' to each side of the equation. -1 + 1 + -4k = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -4k = 3 + 1 -4k = 3 + 1 Combine like terms: 3 + 1 = 4 -4k = 4 Divide each side by '-4'. k = -1 Simplifying k = -1
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