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Simplifying 7k + 2 = 3k + -1 Reorder the terms: 2 + 7k = 3k + -1 Reorder the terms: 2 + 7k = -1 + 3k Solving 2 + 7k = -1 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 2 + 7k + -3k = -1 + 3k + -3k Combine like terms: 7k + -3k = 4k 2 + 4k = -1 + 3k + -3k Combine like terms: 3k + -3k = 0 2 + 4k = -1 + 0 2 + 4k = -1 Add '-2' to each side of the equation. 2 + -2 + 4k = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 4k = -1 + -2 4k = -1 + -2 Combine like terms: -1 + -2 = -3 4k = -3 Divide each side by '4'. k = -0.75 Simplifying k = -0.75
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