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Simplifying 7(5k + 3) = 21 + -6k Reorder the terms: 7(3 + 5k) = 21 + -6k (3 * 7 + 5k * 7) = 21 + -6k (21 + 35k) = 21 + -6k Add '-21' to each side of the equation. 21 + -21 + 35k = 21 + -21 + -6k Combine like terms: 21 + -21 = 0 0 + 35k = 21 + -21 + -6k 35k = 21 + -21 + -6k Combine like terms: 21 + -21 = 0 35k = 0 + -6k 35k = -6k Solving 35k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 35k + 6k = -6k + 6k Combine like terms: 35k + 6k = 41k 41k = -6k + 6k Combine like terms: -6k + 6k = 0 41k = 0 Divide each side by '41'. k = 0 Simplifying k = 0
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