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Simplifying -1(3k + -7) = -4(k + -4) Reorder the terms: -1(-7 + 3k) = -4(k + -4) (-7 * -1 + 3k * -1) = -4(k + -4) (7 + -3k) = -4(k + -4) Reorder the terms: 7 + -3k = -4(-4 + k) 7 + -3k = (-4 * -4 + k * -4) 7 + -3k = (16 + -4k) Solving 7 + -3k = 16 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 7 + -3k + 4k = 16 + -4k + 4k Combine like terms: -3k + 4k = 1k 7 + 1k = 16 + -4k + 4k Combine like terms: -4k + 4k = 0 7 + 1k = 16 + 0 7 + 1k = 16 Add '-7' to each side of the equation. 7 + -7 + 1k = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 1k = 16 + -7 1k = 16 + -7 Combine like terms: 16 + -7 = 9 1k = 9 Divide each side by '1'. k = 9 Simplifying k = 9
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