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Simplifying 3k + -4 + k = 8 + 8k Reorder the terms: -4 + 3k + k = 8 + 8k Combine like terms: 3k + k = 4k -4 + 4k = 8 + 8k Solving -4 + 4k = 8 + 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. -4 + 4k + -8k = 8 + 8k + -8k Combine like terms: 4k + -8k = -4k -4 + -4k = 8 + 8k + -8k Combine like terms: 8k + -8k = 0 -4 + -4k = 8 + 0 -4 + -4k = 8 Add '4' to each side of the equation. -4 + 4 + -4k = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -4k = 8 + 4 -4k = 8 + 4 Combine like terms: 8 + 4 = 12 -4k = 12 Divide each side by '-4'. k = -3 Simplifying k = -3
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