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Simplifying 10k + 3 = 3k(5 + 2) + -4k Reorder the terms: 3 + 10k = 3k(5 + 2) + -4k Combine like terms: 5 + 2 = 7 3 + 10k = 3k(7) + -4k Reorder the terms for easier multiplication: 3 + 10k = 3 * 7k + -4k Multiply 3 * 7 3 + 10k = 21k + -4k Combine like terms: 21k + -4k = 17k 3 + 10k = 17k Solving 3 + 10k = 17k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17k' to each side of the equation. 3 + 10k + -17k = 17k + -17k Combine like terms: 10k + -17k = -7k 3 + -7k = 17k + -17k Combine like terms: 17k + -17k = 0 3 + -7k = 0 Add '-3' to each side of the equation. 3 + -3 + -7k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7k = 0 + -3 -7k = 0 + -3 Combine like terms: 0 + -3 = -3 -7k = -3 Divide each side by '-7'. k = 0.4285714286 Simplifying k = 0.4285714286
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