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Simplifying 7(2k + -5) = 21 + 6k Reorder the terms: 7(-5 + 2k) = 21 + 6k (-5 * 7 + 2k * 7) = 21 + 6k (-35 + 14k) = 21 + 6k Solving -35 + 14k = 21 + 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. -35 + 14k + -6k = 21 + 6k + -6k Combine like terms: 14k + -6k = 8k -35 + 8k = 21 + 6k + -6k Combine like terms: 6k + -6k = 0 -35 + 8k = 21 + 0 -35 + 8k = 21 Add '35' to each side of the equation. -35 + 35 + 8k = 21 + 35 Combine like terms: -35 + 35 = 0 0 + 8k = 21 + 35 8k = 21 + 35 Combine like terms: 21 + 35 = 56 8k = 56 Divide each side by '8'. k = 7 Simplifying k = 7
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