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Simplifying -2(k + -7) + -1(-3k + -7) = 7 Reorder the terms: -2(-7 + k) + -1(-3k + -7) = 7 (-7 * -2 + k * -2) + -1(-3k + -7) = 7 (14 + -2k) + -1(-3k + -7) = 7 Reorder the terms: 14 + -2k + -1(-7 + -3k) = 7 14 + -2k + (-7 * -1 + -3k * -1) = 7 14 + -2k + (7 + 3k) = 7 Reorder the terms: 14 + 7 + -2k + 3k = 7 Combine like terms: 14 + 7 = 21 21 + -2k + 3k = 7 Combine like terms: -2k + 3k = 1k 21 + 1k = 7 Solving 21 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1k = 7 + -21 Combine like terms: 21 + -21 = 0 0 + 1k = 7 + -21 1k = 7 + -21 Combine like terms: 7 + -21 = -14 1k = -14 Divide each side by '1'. k = -14 Simplifying k = -14
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