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Simplifying 8 + -7k = -1(k + 4) Reorder the terms: 8 + -7k = -1(4 + k) 8 + -7k = (4 * -1 + k * -1) 8 + -7k = (-4 + -1k) Solving 8 + -7k = -4 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 8 + -7k + k = -4 + -1k + k Combine like terms: -7k + k = -6k 8 + -6k = -4 + -1k + k Combine like terms: -1k + k = 0 8 + -6k = -4 + 0 8 + -6k = -4 Add '-8' to each side of the equation. 8 + -8 + -6k = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -6k = -4 + -8 -6k = -4 + -8 Combine like terms: -4 + -8 = -12 -6k = -12 Divide each side by '-6'. k = 2 Simplifying k = 2
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