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Simplifying 2 + -7k = -3k + 14 Reorder the terms: 2 + -7k = 14 + -3k Solving 2 + -7k = 14 + -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 = 14 + -3k + 3k Combine like terms: -7k + 3k = -4k 2 + -4k = 14 + -3k + 3k Combine like terms: -3k + 3k = 0 2 + -4k = 14 + 0 2 + -4k = 14 Add '-2' to each side of the equation. 2 + -2 + -4k = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -4k = 14 + -2 -4k = 14 + -2 Combine like terms: 14 + -2 = 12 -4k = 12 Divide each side by '-4'. k = -3 Simplifying k = -3
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