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Simplifying 7(8 + -2k) = 6(k + 6) (8 * 7 + -2k * 7) = 6(k + 6) (56 + -14k) = 6(k + 6) Reorder the terms: 56 + -14k = 6(6 + k) 56 + -14k = (6 * 6 + k * 6) 56 + -14k = (36 + 6k) Solving 56 + -14k = 36 + 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. 56 + -14k + -6k = 36 + 6k + -6k Combine like terms: -14k + -6k = -20k 56 + -20k = 36 + 6k + -6k Combine like terms: 6k + -6k = 0 56 + -20k = 36 + 0 56 + -20k = 36 Add '-56' to each side of the equation. 56 + -56 + -20k = 36 + -56 Combine like terms: 56 + -56 = 0 0 + -20k = 36 + -56 -20k = 36 + -56 Combine like terms: 36 + -56 = -20 -20k = -20 Divide each side by '-20'. k = 1 Simplifying k = 1
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