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Simplifying -32 = (-5k) + 13k Combine like terms: (-5k) + 13k = 8k -32 = 8k Solving -32 = 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. -32 + -8k = 8k + -8k Combine like terms: 8k + -8k = 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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