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Simplifying -2(k + 2) + -1(-3k + -9) = -7 Reorder the terms: -2(2 + k) + -1(-3k + -9) = -7 (2 * -2 + k * -2) + -1(-3k + -9) = -7 (-4 + -2k) + -1(-3k + -9) = -7 Reorder the terms: -4 + -2k + -1(-9 + -3k) = -7 -4 + -2k + (-9 * -1 + -3k * -1) = -7 -4 + -2k + (9 + 3k) = -7 Reorder the terms: -4 + 9 + -2k + 3k = -7 Combine like terms: -4 + 9 = 5 5 + -2k + 3k = -7 Combine like terms: -2k + 3k = 1k 5 + 1k = -7 Solving 5 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 1k = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 1k = -7 + -5 1k = -7 + -5 Combine like terms: -7 + -5 = -12 1k = -12 Divide each side by '1'. k = -12 Simplifying k = -12
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