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Simplifying -4k + 10k + -12 = 7k + -45 + 6 + -10k Reorder the terms: -12 + -4k + 10k = 7k + -45 + 6 + -10k Combine like terms: -4k + 10k = 6k -12 + 6k = 7k + -45 + 6 + -10k Reorder the terms: -12 + 6k = -45 + 6 + 7k + -10k Combine like terms: -45 + 6 = -39 -12 + 6k = -39 + 7k + -10k Combine like terms: 7k + -10k = -3k -12 + 6k = -39 + -3k Solving -12 + 6k = -39 + -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. -12 + 6k + 3k = -39 + -3k + 3k Combine like terms: 6k + 3k = 9k -12 + 9k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + 9k = -39 + 0 -12 + 9k = -39 Add '12' to each side of the equation. -12 + 12 + 9k = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = -39 + 12 9k = -39 + 12 Combine like terms: -39 + 12 = -27 9k = -27 Divide each side by '9'. k = -3 Simplifying k = -3
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