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Simplifying 7(-3k + 3) = 21 + 5k Reorder the terms: 7(3 + -3k) = 21 + 5k (3 * 7 + -3k * 7) = 21 + 5k (21 + -21k) = 21 + 5k Add '-21' to each side of the equation. 21 + -21 + -21k = 21 + -21 + 5k Combine like terms: 21 + -21 = 0 0 + -21k = 21 + -21 + 5k -21k = 21 + -21 + 5k Combine like terms: 21 + -21 = 0 -21k = 0 + 5k -21k = 5k Solving -21k = 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -21k + -5k = 5k + -5k Combine like terms: -21k + -5k = -26k -26k = 5k + -5k Combine like terms: 5k + -5k = 0 -26k = 0 Divide each side by '-26'. k = 0 Simplifying k = 0
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