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Simplifying 7 + 6k = 8k + -13 Reorder the terms: 7 + 6k = -13 + 8k Solving 7 + 6k = -13 + 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 + 6k + -8k = -13 + 8k + -8k Combine like terms: 6k + -8k = -2k 7 + -2k = -13 + 8k + -8k Combine like terms: 8k + -8k = 0 7 + -2k = -13 + 0 7 + -2k = -13 Add '-7' to each side of the equation. 7 + -7 + -2k = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -2k = -13 + -7 -2k = -13 + -7 Combine like terms: -13 + -7 = -20 -2k = -20 Divide each side by '-2'. k = 10 Simplifying k = 10
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