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Simplifying 3k + -21 = 15k + 9k Reorder the terms: -21 + 3k = 15k + 9k Combine like terms: 15k + 9k = 24k -21 + 3k = 24k Solving -21 + 3k = 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. -21 + 3k + -24k = 24k + -24k Combine like terms: 3k + -24k = -21k -21 + -21k = 24k + -24k Combine like terms: 24k + -24k = 0 -21 + -21k = 0 Add '21' to each side of the equation. -21 + 21 + -21k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -21k = 0 + 21 -21k = 0 + 21 Combine like terms: 0 + 21 = 21 -21k = 21 Divide each side by '-21'. k = -1 Simplifying k = -1
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