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Simplifying 17 + 3k = 5(7k + -2) Reorder the terms: 17 + 3k = 5(-2 + 7k) 17 + 3k = (-2 * 5 + 7k * 5) 17 + 3k = (-10 + 35k) Solving 17 + 3k = -10 + 35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35k' to each side of the equation. 17 + 3k + -35k = -10 + 35k + -35k Combine like terms: 3k + -35k = -32k 17 + -32k = -10 + 35k + -35k Combine like terms: 35k + -35k = 0 17 + -32k = -10 + 0 17 + -32k = -10 Add '-17' to each side of the equation. 17 + -17 + -32k = -10 + -17 Combine like terms: 17 + -17 = 0 0 + -32k = -10 + -17 -32k = -10 + -17 Combine like terms: -10 + -17 = -27 -32k = -27 Divide each side by '-32'. k = 0.84375 Simplifying k = 0.84375
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