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Simplifying 7(2 + 2k) + -5k = -10 + 6k (2 * 7 + 2k * 7) + -5k = -10 + 6k (14 + 14k) + -5k = -10 + 6k Combine like terms: 14k + -5k = 9k 14 + 9k = -10 + 6k Solving 14 + 9k = -10 + 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. 14 + 9k + -6k = -10 + 6k + -6k Combine like terms: 9k + -6k = 3k 14 + 3k = -10 + 6k + -6k Combine like terms: 6k + -6k = 0 14 + 3k = -10 + 0 14 + 3k = -10 Add '-14' to each side of the equation. 14 + -14 + 3k = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 3k = -10 + -14 3k = -10 + -14 Combine like terms: -10 + -14 = -24 3k = -24 Divide each side by '3'. k = -8 Simplifying k = -8
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