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Simplifying -12 = 3 + -2k + -35 Reorder the terms: -12 = 3 + -35 + -2k Combine like terms: 3 + -35 = -32 -12 = -32 + -2k Solving -12 = -32 + -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. -12 + 2k = -32 + -2k + 2k Combine like terms: -2k + 2k = 0 -12 + 2k = -32 + 0 -12 + 2k = -32 Add '12' to each side of the equation. -12 + 12 + 2k = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 2k = -32 + 12 2k = -32 + 12 Combine like terms: -32 + 12 = -20 2k = -20 Divide each side by '2'. k = -10 Simplifying k = -10
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