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