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Simplifying 21 + -8k = -7(2k + 3) Reorder the terms: 21 + -8k = -7(3 + 2k) 21 + -8k = (3 * -7 + 2k * -7) 21 + -8k = (-21 + -14k) Solving 21 + -8k = -21 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 21 + -8k + 14k = -21 + -14k + 14k Combine like terms: -8k + 14k = 6k 21 + 6k = -21 + -14k + 14k Combine like terms: -14k + 14k = 0 21 + 6k = -21 + 0 21 + 6k = -21 Add '-21' to each side of the equation. 21 + -21 + 6k = -21 + -21 Combine like terms: 21 + -21 = 0 0 + 6k = -21 + -21 6k = -21 + -21 Combine like terms: -21 + -21 = -42 6k = -42 Divide each side by '6'. k = -7 Simplifying k = -7
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