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Simplifying 6k + 7 = 3k + -8 Reorder the terms: 7 + 6k = 3k + -8 Reorder the terms: 7 + 6k = -8 + 3k Solving 7 + 6k = -8 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 7 + 6k + -3k = -8 + 3k + -3k Combine like terms: 6k + -3k = 3k 7 + 3k = -8 + 3k + -3k Combine like terms: 3k + -3k = 0 7 + 3k = -8 + 0 7 + 3k = -8 Add '-7' to each side of the equation. 7 + -7 + 3k = -8 + -7 Combine like terms: 7 + -7 = 0 0 + 3k = -8 + -7 3k = -8 + -7 Combine like terms: -8 + -7 = -15 3k = -15 Divide each side by '3'. k = -5 Simplifying k = -5
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