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Simplifying 3k + -12 = 8k + -2 Reorder the terms: -12 + 3k = 8k + -2 Reorder the terms: -12 + 3k = -2 + 8k Solving -12 + 3k = -2 + 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. -12 + 3k + -8k = -2 + 8k + -8k Combine like terms: 3k + -8k = -5k -12 + -5k = -2 + 8k + -8k Combine like terms: 8k + -8k = 0 -12 + -5k = -2 + 0 -12 + -5k = -2 Add '12' to each side of the equation. -12 + 12 + -5k = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -5k = -2 + 12 -5k = -2 + 12 Combine like terms: -2 + 12 = 10 -5k = 10 Divide each side by '-5'. k = -2 Simplifying k = -2
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