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Simplifying 8(k + 5) + 8(7k + -5) = 2k + -8k Reorder the terms: 8(5 + k) + 8(7k + -5) = 2k + -8k (5 * 8 + k * 8) + 8(7k + -5) = 2k + -8k (40 + 8k) + 8(7k + -5) = 2k + -8k Reorder the terms: 40 + 8k + 8(-5 + 7k) = 2k + -8k 40 + 8k + (-5 * 8 + 7k * 8) = 2k + -8k 40 + 8k + (-40 + 56k) = 2k + -8k Reorder the terms: 40 + -40 + 8k + 56k = 2k + -8k Combine like terms: 40 + -40 = 0 0 + 8k + 56k = 2k + -8k 8k + 56k = 2k + -8k Combine like terms: 8k + 56k = 64k 64k = 2k + -8k Combine like terms: 2k + -8k = -6k 64k = -6k Solving 64k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 64k + 6k = -6k + 6k Combine like terms: 64k + 6k = 70k 70k = -6k + 6k Combine like terms: -6k + 6k = 0 70k = 0 Divide each side by '70'. k = 0.0 Simplifying k = 0.0
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