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Simplifying k + -21 + 8k = 3(k + 1) Reorder the terms: -21 + k + 8k = 3(k + 1) Combine like terms: k + 8k = 9k -21 + 9k = 3(k + 1) Reorder the terms: -21 + 9k = 3(1 + k) -21 + 9k = (1 * 3 + k * 3) -21 + 9k = (3 + 3k) Solving -21 + 9k = 3 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -21 + 9k + -3k = 3 + 3k + -3k Combine like terms: 9k + -3k = 6k -21 + 6k = 3 + 3k + -3k Combine like terms: 3k + -3k = 0 -21 + 6k = 3 + 0 -21 + 6k = 3 Add '21' to each side of the equation. -21 + 21 + 6k = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 6k = 3 + 21 6k = 3 + 21 Combine like terms: 3 + 21 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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