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Simplifying -5(-6k + 8) + 8k = -40 + -7k Reorder the terms: -5(8 + -6k) + 8k = -40 + -7k (8 * -5 + -6k * -5) + 8k = -40 + -7k (-40 + 30k) + 8k = -40 + -7k Combine like terms: 30k + 8k = 38k -40 + 38k = -40 + -7k Add '40' to each side of the equation. -40 + 40 + 38k = -40 + 40 + -7k Combine like terms: -40 + 40 = 0 0 + 38k = -40 + 40 + -7k 38k = -40 + 40 + -7k Combine like terms: -40 + 40 = 0 38k = 0 + -7k 38k = -7k Solving 38k = -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. 38k + 7k = -7k + 7k Combine like terms: 38k + 7k = 45k 45k = -7k + 7k Combine like terms: -7k + 7k = 0 45k = 0 Divide each side by '45'. k = 0 Simplifying k = 0
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