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Simplifying -2(k + -7) + -1(-3k + -5) = 7 Reorder the terms: -2(-7 + k) + -1(-3k + -5) = 7 (-7 * -2 + k * -2) + -1(-3k + -5) = 7 (14 + -2k) + -1(-3k + -5) = 7 Reorder the terms: 14 + -2k + -1(-5 + -3k) = 7 14 + -2k + (-5 * -1 + -3k * -1) = 7 14 + -2k + (5 + 3k) = 7 Reorder the terms: 14 + 5 + -2k + 3k = 7 Combine like terms: 14 + 5 = 19 19 + -2k + 3k = 7 Combine like terms: -2k + 3k = 1k 19 + 1k = 7 Solving 19 + 1k = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1k = 7 + -19 Combine like terms: 19 + -19 = 0 0 + 1k = 7 + -19 1k = 7 + -19 Combine like terms: 7 + -19 = -12 1k = -12 Divide each side by '1'. k = -12 Simplifying k = -12
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