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Simplifying -32 + 4k = k + -5k Combine like terms: k + -5k = -4k -32 + 4k = -4k Solving -32 + 4k = -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -32 + 4k + 4k = -4k + 4k Combine like terms: 4k + 4k = 8k -32 + 8k = -4k + 4k Combine like terms: -4k + 4k = 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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