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Simplifying 6k + -32 = -2k Reorder the terms: -32 + 6k = -2k Solving -32 + 6k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -32 + 6k + 2k = -2k + 2k Combine like terms: 6k + 2k = 8k -32 + 8k = -2k + 2k Combine like terms: -2k + 2k = 0 -32 + 8k = 0 Add '32' to each side of the equation. -32 + 32 + 8k = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 8k = 0 + 32 8k = 0 + 32 Combine like terms: 0 + 32 = 32 8k = 32 Divide each side by '8'. k = 4 Simplifying k = 4
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