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Simplifying 5k + -12 = 8k + 24 Reorder the terms: -12 + 5k = 8k + 24 Reorder the terms: -12 + 5k = 24 + 8k Solving -12 + 5k = 24 + 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 + 5k + -8k = 24 + 8k + -8k Combine like terms: 5k + -8k = -3k -12 + -3k = 24 + 8k + -8k Combine like terms: 8k + -8k = 0 -12 + -3k = 24 + 0 -12 + -3k = 24 Add '12' to each side of the equation. -12 + 12 + -3k = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -3k = 24 + 12 -3k = 24 + 12 Combine like terms: 24 + 12 = 36 -3k = 36 Divide each side by '-3'. k = -12 Simplifying k = -12
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