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Simplifying -20 + -2k = 12 + 30k Solving -20 + -2k = 12 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. -20 + -2k + -30k = 12 + 30k + -30k Combine like terms: -2k + -30k = -32k -20 + -32k = 12 + 30k + -30k Combine like terms: 30k + -30k = 0 -20 + -32k = 12 + 0 -20 + -32k = 12 Add '20' to each side of the equation. -20 + 20 + -32k = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -32k = 12 + 20 -32k = 12 + 20 Combine like terms: 12 + 20 = 32 -32k = 32 Divide each side by '-32'. k = -1 Simplifying k = -1
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