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Simplifying -5(4k + -8) + 7k = 8(5 + -4k) Reorder the terms: -5(-8 + 4k) + 7k = 8(5 + -4k) (-8 * -5 + 4k * -5) + 7k = 8(5 + -4k) (40 + -20k) + 7k = 8(5 + -4k) Combine like terms: -20k + 7k = -13k 40 + -13k = 8(5 + -4k) 40 + -13k = (5 * 8 + -4k * 8) 40 + -13k = (40 + -32k) Add '-40' to each side of the equation. 40 + -40 + -13k = 40 + -40 + -32k Combine like terms: 40 + -40 = 0 0 + -13k = 40 + -40 + -32k -13k = 40 + -40 + -32k Combine like terms: 40 + -40 = 0 -13k = 0 + -32k -13k = -32k Solving -13k = -32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32k' to each side of the equation. -13k + 32k = -32k + 32k Combine like terms: -13k + 32k = 19k 19k = -32k + 32k Combine like terms: -32k + 32k = 0 19k = 0 Divide each side by '19'. k = 0 Simplifying k = 0
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