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Simplifying -7 + 4(2k + 6) = 81 Reorder the terms: -7 + 4(6 + 2k) = 81 -7 + (6 * 4 + 2k * 4) = 81 -7 + (24 + 8k) = 81 Combine like terms: -7 + 24 = 17 17 + 8k = 81 Solving 17 + 8k = 81 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 8k = 81 + -17 Combine like terms: 17 + -17 = 0 0 + 8k = 81 + -17 8k = 81 + -17 Combine like terms: 81 + -17 = 64 8k = 64 Divide each side by '8'. k = 8 Simplifying k = 8
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