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Simplifying 5k + -7 + 2k = 8k + -12 Reorder the terms: -7 + 5k + 2k = 8k + -12 Combine like terms: 5k + 2k = 7k -7 + 7k = 8k + -12 Reorder the terms: -7 + 7k = -12 + 8k Solving -7 + 7k = -12 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -7 + 7k + -8k = -12 + 8k + -8k Combine like terms: 7k + -8k = -1k -7 + -1k = -12 + 8k + -8k Combine like terms: 8k + -8k = 0 -7 + -1k = -12 + 0 -7 + -1k = -12 Add '7' to each side of the equation. -7 + 7 + -1k = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -1k = -12 + 7 -1k = -12 + 7 Combine like terms: -12 + 7 = -5 -1k = -5 Divide each side by '-1'. k = 5 Simplifying k = 5
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