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Simplifying 4k + 17 = -3k + 5(1 + 2k) Reorder the terms: 17 + 4k = -3k + 5(1 + 2k) 17 + 4k = -3k + (1 * 5 + 2k * 5) 17 + 4k = -3k + (5 + 10k) Reorder the terms: 17 + 4k = 5 + -3k + 10k Combine like terms: -3k + 10k = 7k 17 + 4k = 5 + 7k Solving 17 + 4k = 5 + 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 + 4k + -7k = 5 + 7k + -7k Combine like terms: 4k + -7k = -3k 17 + -3k = 5 + 7k + -7k Combine like terms: 7k + -7k = 0 17 + -3k = 5 + 0 17 + -3k = 5 Add '-17' to each side of the equation. 17 + -17 + -3k = 5 + -17 Combine like terms: 17 + -17 = 0 0 + -3k = 5 + -17 -3k = 5 + -17 Combine like terms: 5 + -17 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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