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Simplifying 7(6k + 2) + -8k = 40 + 8k Reorder the terms: 7(2 + 6k) + -8k = 40 + 8k (2 * 7 + 6k * 7) + -8k = 40 + 8k (14 + 42k) + -8k = 40 + 8k Combine like terms: 42k + -8k = 34k 14 + 34k = 40 + 8k Solving 14 + 34k = 40 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 14 + 34k + -8k = 40 + 8k + -8k Combine like terms: 34k + -8k = 26k 14 + 26k = 40 + 8k + -8k Combine like terms: 8k + -8k = 0 14 + 26k = 40 + 0 14 + 26k = 40 Add '-14' to each side of the equation. 14 + -14 + 26k = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 26k = 40 + -14 26k = 40 + -14 Combine like terms: 40 + -14 = 26 26k = 26 Divide each side by '26'. k = 1 Simplifying k = 1
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