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Simplifying 5 + 3k = 7k + -2 Reorder the terms: 5 + 3k = -2 + 7k Solving 5 + 3k = -2 + 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 = -2 + 7k + -7k Combine like terms: 3k + -7k = -4k 5 + -4k = -2 + 7k + -7k Combine like terms: 7k + -7k = 0 5 + -4k = -2 + 0 5 + -4k = -2 Add '-5' to each side of the equation. 5 + -5 + -4k = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -4k = -2 + -5 -4k = -2 + -5 Combine like terms: -2 + -5 = -7 -4k = -7 Divide each side by '-4'. k = 1.75 Simplifying k = 1.75
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