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Simplifying 6k + -1(7 + k) = -1(9k + 7) 6k + (7 * -1 + k * -1) = -1(9k + 7) 6k + (-7 + -1k) = -1(9k + 7) Reorder the terms: -7 + 6k + -1k = -1(9k + 7) Combine like terms: 6k + -1k = 5k -7 + 5k = -1(9k + 7) Reorder the terms: -7 + 5k = -1(7 + 9k) -7 + 5k = (7 * -1 + 9k * -1) -7 + 5k = (-7 + -9k) Add '7' to each side of the equation. -7 + 7 + 5k = -7 + 7 + -9k Combine like terms: -7 + 7 = 0 0 + 5k = -7 + 7 + -9k 5k = -7 + 7 + -9k Combine like terms: -7 + 7 = 0 5k = 0 + -9k 5k = -9k Solving 5k = -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. 5k + 9k = -9k + 9k Combine like terms: 5k + 9k = 14k 14k = -9k + 9k Combine like terms: -9k + 9k = 0 14k = 0 Divide each side by '14'. k = 0 Simplifying k = 0
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