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Simplifying -6(k + 4) + -1(-7k + -8) = 4 Reorder the terms: -6(4 + k) + -1(-7k + -8) = 4 (4 * -6 + k * -6) + -1(-7k + -8) = 4 (-24 + -6k) + -1(-7k + -8) = 4 Reorder the terms: -24 + -6k + -1(-8 + -7k) = 4 -24 + -6k + (-8 * -1 + -7k * -1) = 4 -24 + -6k + (8 + 7k) = 4 Reorder the terms: -24 + 8 + -6k + 7k = 4 Combine like terms: -24 + 8 = -16 -16 + -6k + 7k = 4 Combine like terms: -6k + 7k = 1k -16 + 1k = 4 Solving -16 + 1k = 4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 1k = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 1k = 4 + 16 1k = 4 + 16 Combine like terms: 4 + 16 = 20 1k = 20 Divide each side by '1'. k = 20 Simplifying k = 20
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