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Simplifying -10k + -24 = 3k + -96 + -5k Reorder the terms: -24 + -10k = 3k + -96 + -5k Reorder the terms: -24 + -10k = -96 + 3k + -5k Combine like terms: 3k + -5k = -2k -24 + -10k = -96 + -2k Solving -24 + -10k = -96 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -24 + -10k + 2k = -96 + -2k + 2k Combine like terms: -10k + 2k = -8k -24 + -8k = -96 + -2k + 2k Combine like terms: -2k + 2k = 0 -24 + -8k = -96 + 0 -24 + -8k = -96 Add '24' to each side of the equation. -24 + 24 + -8k = -96 + 24 Combine like terms: -24 + 24 = 0 0 + -8k = -96 + 24 -8k = -96 + 24 Combine like terms: -96 + 24 = -72 -8k = -72 Divide each side by '-8'. k = 9 Simplifying k = 9
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