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Simplifying 12 + k = 9k + -4 Reorder the terms: 12 + k = -4 + 9k Solving 12 + k = -4 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. 12 + k + -9k = -4 + 9k + -9k Combine like terms: k + -9k = -8k 12 + -8k = -4 + 9k + -9k Combine like terms: 9k + -9k = 0 12 + -8k = -4 + 0 12 + -8k = -4 Add '-12' to each side of the equation. 12 + -12 + -8k = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -8k = -4 + -12 -8k = -4 + -12 Combine like terms: -4 + -12 = -16 -8k = -16 Divide each side by '-8'. k = 2 Simplifying k = 2
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