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Simplifying -12 + -7k = -8k + 3k Combine like terms: -8k + 3k = -5k -12 + -7k = -5k Solving -12 + -7k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -12 + -7k + 5k = -5k + 5k Combine like terms: -7k + 5k = -2k -12 + -2k = -5k + 5k Combine like terms: -5k + 5k = 0 -12 + -2k = 0 Add '12' to each side of the equation. -12 + 12 + -2k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -2k = 0 + 12 -2k = 0 + 12 Combine like terms: 0 + 12 = 12 -2k = 12 Divide each side by '-2'. k = -6 Simplifying k = -6
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