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Simplifying 21 + 6k = 7(2k + -5) + -8 Reorder the terms: 21 + 6k = 7(-5 + 2k) + -8 21 + 6k = (-5 * 7 + 2k * 7) + -8 21 + 6k = (-35 + 14k) + -8 Reorder the terms: 21 + 6k = -35 + -8 + 14k Combine like terms: -35 + -8 = -43 21 + 6k = -43 + 14k Solving 21 + 6k = -43 + 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 + 6k + -14k = -43 + 14k + -14k Combine like terms: 6k + -14k = -8k 21 + -8k = -43 + 14k + -14k Combine like terms: 14k + -14k = 0 21 + -8k = -43 + 0 21 + -8k = -43 Add '-21' to each side of the equation. 21 + -21 + -8k = -43 + -21 Combine like terms: 21 + -21 = 0 0 + -8k = -43 + -21 -8k = -43 + -21 Combine like terms: -43 + -21 = -64 -8k = -64 Divide each side by '-8'. k = 8 Simplifying k = 8
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