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Simplifying -7(-2 + 6k) + 8k = -38 + -8k (-2 * -7 + 6k * -7) + 8k = -38 + -8k (14 + -42k) + 8k = -38 + -8k Combine like terms: -42k + 8k = -34k 14 + -34k = -38 + -8k Solving 14 + -34k = -38 + -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 = -38 + -8k + 8k Combine like terms: -34k + 8k = -26k 14 + -26k = -38 + -8k + 8k Combine like terms: -8k + 8k = 0 14 + -26k = -38 + 0 14 + -26k = -38 Add '-14' to each side of the equation. 14 + -14 + -26k = -38 + -14 Combine like terms: 14 + -14 = 0 0 + -26k = -38 + -14 -26k = -38 + -14 Combine like terms: -38 + -14 = -52 -26k = -52 Divide each side by '-26'. k = 2 Simplifying k = 2
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