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Simplifying -3(8k + 8) + 3k = -24 + k Reorder the terms: -3(8 + 8k) + 3k = -24 + k (8 * -3 + 8k * -3) + 3k = -24 + k (-24 + -24k) + 3k = -24 + k Combine like terms: -24k + 3k = -21k -24 + -21k = -24 + k Add '24' to each side of the equation. -24 + 24 + -21k = -24 + 24 + k Combine like terms: -24 + 24 = 0 0 + -21k = -24 + 24 + k -21k = -24 + 24 + k Combine like terms: -24 + 24 = 0 -21k = 0 + k -21k = k Solving -21k = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -21k + -1k = k + -1k Combine like terms: -21k + -1k = -22k -22k = k + -1k Combine like terms: k + -1k = 0 -22k = 0 Divide each side by '-22'. k = 0 Simplifying k = 0
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