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Simplifying -2(k + 8) + -1(-3k + -9) = -1 Reorder the terms: -2(8 + k) + -1(-3k + -9) = -1 (8 * -2 + k * -2) + -1(-3k + -9) = -1 (-16 + -2k) + -1(-3k + -9) = -1 Reorder the terms: -16 + -2k + -1(-9 + -3k) = -1 -16 + -2k + (-9 * -1 + -3k * -1) = -1 -16 + -2k + (9 + 3k) = -1 Reorder the terms: -16 + 9 + -2k + 3k = -1 Combine like terms: -16 + 9 = -7 -7 + -2k + 3k = -1 Combine like terms: -2k + 3k = 1k -7 + 1k = -1 Solving -7 + 1k = -1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 1k = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1k = -1 + 7 1k = -1 + 7 Combine like terms: -1 + 7 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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