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Simplifying 6(k + 4) + -2k = -2(1 + 7k) + -8k Reorder the terms: 6(4 + k) + -2k = -2(1 + 7k) + -8k (4 * 6 + k * 6) + -2k = -2(1 + 7k) + -8k (24 + 6k) + -2k = -2(1 + 7k) + -8k Combine like terms: 6k + -2k = 4k 24 + 4k = -2(1 + 7k) + -8k 24 + 4k = (1 * -2 + 7k * -2) + -8k 24 + 4k = (-2 + -14k) + -8k Combine like terms: -14k + -8k = -22k 24 + 4k = -2 + -22k Solving 24 + 4k = -2 + -22k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '22k' to each side of the equation. 24 + 4k + 22k = -2 + -22k + 22k Combine like terms: 4k + 22k = 26k 24 + 26k = -2 + -22k + 22k Combine like terms: -22k + 22k = 0 24 + 26k = -2 + 0 24 + 26k = -2 Add '-24' to each side of the equation. 24 + -24 + 26k = -2 + -24 Combine like terms: 24 + -24 = 0 0 + 26k = -2 + -24 26k = -2 + -24 Combine like terms: -2 + -24 = -26 26k = -26 Divide each side by '26'. k = -1 Simplifying k = -1
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