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Simplifying 3k + 4 = -10 + -4k Reorder the terms: 4 + 3k = -10 + -4k Solving 4 + 3k = -10 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 4 + 3k + 4k = -10 + -4k + 4k Combine like terms: 3k + 4k = 7k 4 + 7k = -10 + -4k + 4k Combine like terms: -4k + 4k = 0 4 + 7k = -10 + 0 4 + 7k = -10 Add '-4' to each side of the equation. 4 + -4 + 7k = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 7k = -10 + -4 7k = -10 + -4 Combine like terms: -10 + -4 = -14 7k = -14 Divide each side by '7'. k = -2 Simplifying k = -2
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