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Simplifying 4k + 4 = 8k + 32 Reorder the terms: 4 + 4k = 8k + 32 Reorder the terms: 4 + 4k = 32 + 8k Solving 4 + 4k = 32 + 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 = 32 + 8k + -8k Combine like terms: 4k + -8k = -4k 4 + -4k = 32 + 8k + -8k Combine like terms: 8k + -8k = 0 4 + -4k = 32 + 0 4 + -4k = 32 Add '-4' to each side of the equation. 4 + -4 + -4k = 32 + -4 Combine like terms: 4 + -4 = 0 0 + -4k = 32 + -4 -4k = 32 + -4 Combine like terms: 32 + -4 = 28 -4k = 28 Divide each side by '-4'. k = -7 Simplifying k = -7
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