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Simplifying 82 = 7(-2k + 4) + 5k Reorder the terms: 82 = 7(4 + -2k) + 5k 82 = (4 * 7 + -2k * 7) + 5k 82 = (28 + -14k) + 5k Combine like terms: -14k + 5k = -9k 82 = 28 + -9k Solving 82 = 28 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. 82 + 9k = 28 + -9k + 9k Combine like terms: -9k + 9k = 0 82 + 9k = 28 + 0 82 + 9k = 28 Add '-82' to each side of the equation. 82 + -82 + 9k = 28 + -82 Combine like terms: 82 + -82 = 0 0 + 9k = 28 + -82 9k = 28 + -82 Combine like terms: 28 + -82 = -54 9k = -54 Divide each side by '9'. k = -6 Simplifying k = -6
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