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Simplifying -32 + (-13) = k -32 + -13 = k Combine like terms: -32 + -13 = -45 -45 = k Solving -45 = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -45 + -1k = k + -1k Combine like terms: k + -1k = 0 -45 + -1k = 0 Add '45' to each side of the equation. -45 + 45 + -1k = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1k = 0 + 45 -1k = 0 + 45 Combine like terms: 0 + 45 = 45 -1k = 45 Divide each side by '-1'. k = -45 Simplifying k = -45
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