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Simplifying -21 + 6k = 3k + 3(5 + 5k) -21 + 6k = 3k + (5 * 3 + 5k * 3) -21 + 6k = 3k + (15 + 15k) Reorder the terms: -21 + 6k = 15 + 3k + 15k Combine like terms: 3k + 15k = 18k -21 + 6k = 15 + 18k Solving -21 + 6k = 15 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -21 + 6k + -18k = 15 + 18k + -18k Combine like terms: 6k + -18k = -12k -21 + -12k = 15 + 18k + -18k Combine like terms: 18k + -18k = 0 -21 + -12k = 15 + 0 -21 + -12k = 15 Add '21' to each side of the equation. -21 + 21 + -12k = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -12k = 15 + 21 -12k = 15 + 21 Combine like terms: 15 + 21 = 36 -12k = 36 Divide each side by '-12'. k = -3 Simplifying k = -3
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