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Simplifying 3k + -5 = 7k + 8 Reorder the terms: -5 + 3k = 7k + 8 Reorder the terms: -5 + 3k = 8 + 7k Solving -5 + 3k = 8 + 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. -5 + 3k + -7k = 8 + 7k + -7k Combine like terms: 3k + -7k = -4k -5 + -4k = 8 + 7k + -7k Combine like terms: 7k + -7k = 0 -5 + -4k = 8 + 0 -5 + -4k = 8 Add '5' to each side of the equation. -5 + 5 + -4k = 8 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = 8 + 5 -4k = 8 + 5 Combine like terms: 8 + 5 = 13 -4k = 13 Divide each side by '-4'. k = -3.25 Simplifying k = -3.25
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