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Simplifying 6k + 8 = 14k + -32 Reorder the terms: 8 + 6k = 14k + -32 Reorder the terms: 8 + 6k = -32 + 14k Solving 8 + 6k = -32 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 8 + 6k + -14k = -32 + 14k + -14k Combine like terms: 6k + -14k = -8k 8 + -8k = -32 + 14k + -14k Combine like terms: 14k + -14k = 0 8 + -8k = -32 + 0 8 + -8k = -32 Add '-8' to each side of the equation. 8 + -8 + -8k = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -8k = -32 + -8 -8k = -32 + -8 Combine like terms: -32 + -8 = -40 -8k = -40 Divide each side by '-8'. k = 5 Simplifying k = 5
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