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Simplifying 4k + -16 + -8k + 32 = 15k + -20 + -27k + 36 Reorder the terms: -16 + 32 + 4k + -8k = 15k + -20 + -27k + 36 Combine like terms: -16 + 32 = 16 16 + 4k + -8k = 15k + -20 + -27k + 36 Combine like terms: 4k + -8k = -4k 16 + -4k = 15k + -20 + -27k + 36 Reorder the terms: 16 + -4k = -20 + 36 + 15k + -27k Combine like terms: -20 + 36 = 16 16 + -4k = 16 + 15k + -27k Combine like terms: 15k + -27k = -12k 16 + -4k = 16 + -12k Add '-16' to each side of the equation. 16 + -16 + -4k = 16 + -16 + -12k Combine like terms: 16 + -16 = 0 0 + -4k = 16 + -16 + -12k -4k = 16 + -16 + -12k Combine like terms: 16 + -16 = 0 -4k = 0 + -12k -4k = -12k Solving -4k = -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -4k + 12k = -12k + 12k Combine like terms: -4k + 12k = 8k 8k = -12k + 12k Combine like terms: -12k + 12k = 0 8k = 0 Divide each side by '8'. k = 0 Simplifying k = 0
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