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Simplifying 1 + 3(5k + -8) = 25 + 7k Reorder the terms: 1 + 3(-8 + 5k) = 25 + 7k 1 + (-8 * 3 + 5k * 3) = 25 + 7k 1 + (-24 + 15k) = 25 + 7k Combine like terms: 1 + -24 = -23 -23 + 15k = 25 + 7k Solving -23 + 15k = 25 + 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. -23 + 15k + -7k = 25 + 7k + -7k Combine like terms: 15k + -7k = 8k -23 + 8k = 25 + 7k + -7k Combine like terms: 7k + -7k = 0 -23 + 8k = 25 + 0 -23 + 8k = 25 Add '23' to each side of the equation. -23 + 23 + 8k = 25 + 23 Combine like terms: -23 + 23 = 0 0 + 8k = 25 + 23 8k = 25 + 23 Combine like terms: 25 + 23 = 48 8k = 48 Divide each side by '8'. k = 6 Simplifying k = 6
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