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Simplifying 8k + -6 = 7k + -5 + 2k + -8 Reorder the terms: -6 + 8k = 7k + -5 + 2k + -8 Reorder the terms: -6 + 8k = -5 + -8 + 7k + 2k Combine like terms: -5 + -8 = -13 -6 + 8k = -13 + 7k + 2k Combine like terms: 7k + 2k = 9k -6 + 8k = -13 + 9k Solving -6 + 8k = -13 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -6 + 8k + -9k = -13 + 9k + -9k Combine like terms: 8k + -9k = -1k -6 + -1k = -13 + 9k + -9k Combine like terms: 9k + -9k = 0 -6 + -1k = -13 + 0 -6 + -1k = -13 Add '6' to each side of the equation. -6 + 6 + -1k = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = -13 + 6 -1k = -13 + 6 Combine like terms: -13 + 6 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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