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Simplifying 7k + 8 = -4(3 + -1k) Reorder the terms: 8 + 7k = -4(3 + -1k) 8 + 7k = (3 * -4 + -1k * -4) 8 + 7k = (-12 + 4k) Solving 8 + 7k = -12 + 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. 8 + 7k + -4k = -12 + 4k + -4k Combine like terms: 7k + -4k = 3k 8 + 3k = -12 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + 3k = -12 + 0 8 + 3k = -12 Add '-8' to each side of the equation. 8 + -8 + 3k = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = -12 + -8 3k = -12 + -8 Combine like terms: -12 + -8 = -20 3k = -20 Divide each side by '3'. k = -6.666666667 Simplifying k = -6.666666667
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