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Simplifying -1(4k + 3) + 7 = -7 + -6k Reorder the terms: -1(3 + 4k) + 7 = -7 + -6k (3 * -1 + 4k * -1) + 7 = -7 + -6k (-3 + -4k) + 7 = -7 + -6k Reorder the terms: -3 + 7 + -4k = -7 + -6k Combine like terms: -3 + 7 = 4 4 + -4k = -7 + -6k Solving 4 + -4k = -7 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 4 + -4k + 6k = -7 + -6k + 6k Combine like terms: -4k + 6k = 2k 4 + 2k = -7 + -6k + 6k Combine like terms: -6k + 6k = 0 4 + 2k = -7 + 0 4 + 2k = -7 Add '-4' to each side of the equation. 4 + -4 + 2k = -7 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = -7 + -4 2k = -7 + -4 Combine like terms: -7 + -4 = -11 2k = -11 Divide each side by '2'. k = -5.5 Simplifying k = -5.5
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