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Simplifying -6k + 5(-1k + 4) = -7k + 16 Reorder the terms: -6k + 5(4 + -1k) = -7k + 16 -6k + (4 * 5 + -1k * 5) = -7k + 16 -6k + (20 + -5k) = -7k + 16 Reorder the terms: 20 + -6k + -5k = -7k + 16 Combine like terms: -6k + -5k = -11k 20 + -11k = -7k + 16 Reorder the terms: 20 + -11k = 16 + -7k Solving 20 + -11k = 16 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 20 + -11k + 7k = 16 + -7k + 7k Combine like terms: -11k + 7k = -4k 20 + -4k = 16 + -7k + 7k Combine like terms: -7k + 7k = 0 20 + -4k = 16 + 0 20 + -4k = 16 Add '-20' to each side of the equation. 20 + -20 + -4k = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -4k = 16 + -20 -4k = 16 + -20 Combine like terms: 16 + -20 = -4 -4k = -4 Divide each side by '-4'. k = 1 Simplifying k = 1
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