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Simplifying 17 + 3k = (7k + -2) Reorder the terms: 17 + 3k = (-2 + 7k) Remove parenthesis around (-2 + 7k) 17 + 3k = -2 + 7k Solving 17 + 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. 17 + 3k + -7k = -2 + 7k + -7k Combine like terms: 3k + -7k = -4k 17 + -4k = -2 + 7k + -7k Combine like terms: 7k + -7k = 0 17 + -4k = -2 + 0 17 + -4k = -2 Add '-17' to each side of the equation. 17 + -17 + -4k = -2 + -17 Combine like terms: 17 + -17 = 0 0 + -4k = -2 + -17 -4k = -2 + -17 Combine like terms: -2 + -17 = -19 -4k = -19 Divide each side by '-4'. k = 4.75 Simplifying k = 4.75
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