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Simplifying -1(k + -7) = -2(4 + k) + 5 Reorder the terms: -1(-7 + k) = -2(4 + k) + 5 (-7 * -1 + k * -1) = -2(4 + k) + 5 (7 + -1k) = -2(4 + k) + 5 7 + -1k = (4 * -2 + k * -2) + 5 7 + -1k = (-8 + -2k) + 5 Reorder the terms: 7 + -1k = -8 + 5 + -2k Combine like terms: -8 + 5 = -3 7 + -1k = -3 + -2k Solving 7 + -1k = -3 + -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 + -1k + 2k = -3 + -2k + 2k Combine like terms: -1k + 2k = 1k 7 + 1k = -3 + -2k + 2k Combine like terms: -2k + 2k = 0 7 + 1k = -3 + 0 7 + 1k = -3 Add '-7' to each side of the equation. 7 + -7 + 1k = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = -3 + -7 1k = -3 + -7 Combine like terms: -3 + -7 = -10 1k = -10 Divide each side by '1'. k = -10 Simplifying k = -10
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