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Simplifying 15 + -8k + 5k = 1 + 4k Combine like terms: -8k + 5k = -3k 15 + -3k = 1 + 4k Solving 15 + -3k = 1 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 15 + -3k + -4k = 1 + 4k + -4k Combine like terms: -3k + -4k = -7k 15 + -7k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 15 + -7k = 1 + 0 15 + -7k = 1 Add '-15' to each side of the equation. 15 + -15 + -7k = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -7k = 1 + -15 -7k = 1 + -15 Combine like terms: 1 + -15 = -14 -7k = -14 Divide each side by '-7'. k = 2 Simplifying k = 2
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