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Simplifying 13 + 6k = k + -5 + 8k Reorder the terms: 13 + 6k = -5 + k + 8k Combine like terms: k + 8k = 9k 13 + 6k = -5 + 9k Solving 13 + 6k = -5 + 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. 13 + 6k + -9k = -5 + 9k + -9k Combine like terms: 6k + -9k = -3k 13 + -3k = -5 + 9k + -9k Combine like terms: 9k + -9k = 0 13 + -3k = -5 + 0 13 + -3k = -5 Add '-13' to each side of the equation. 13 + -13 + -3k = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -3k = -5 + -13 -3k = -5 + -13 Combine like terms: -5 + -13 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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