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Simplifying -1(5k + -7) = 16 + -2k Reorder the terms: -1(-7 + 5k) = 16 + -2k (-7 * -1 + 5k * -1) = 16 + -2k (7 + -5k) = 16 + -2k Solving 7 + -5k = 16 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 7 + -5k + 2k = 16 + -2k + 2k Combine like terms: -5k + 2k = -3k 7 + -3k = 16 + -2k + 2k Combine like terms: -2k + 2k = 0 7 + -3k = 16 + 0 7 + -3k = 16 Add '-7' to each side of the equation. 7 + -7 + -3k = 16 + -7 Combine like terms: 7 + -7 = 0 0 + -3k = 16 + -7 -3k = 16 + -7 Combine like terms: 16 + -7 = 9 -3k = 9 Divide each side by '-3'. k = -3 Simplifying k = -3
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