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Simplifying 7k + 4 = 3k + -6 Reorder the terms: 4 + 7k = 3k + -6 Reorder the terms: 4 + 7k = -6 + 3k Solving 4 + 7k = -6 + 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. 4 + 7k + -3k = -6 + 3k + -3k Combine like terms: 7k + -3k = 4k 4 + 4k = -6 + 3k + -3k Combine like terms: 3k + -3k = 0 4 + 4k = -6 + 0 4 + 4k = -6 Add '-4' to each side of the equation. 4 + -4 + 4k = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 4k = -6 + -4 4k = -6 + -4 Combine like terms: -6 + -4 = -10 4k = -10 Divide each side by '4'. k = -2.5 Simplifying k = -2.5
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