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Simplifying 4k(2) + 9 = 265 Reorder the terms for easier multiplication: 4 * 2k + 9 = 265 Multiply 4 * 2 8k + 9 = 265 Reorder the terms: 9 + 8k = 265 Solving 9 + 8k = 265 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8k = 265 + -9 Combine like terms: 9 + -9 = 0 0 + 8k = 265 + -9 8k = 265 + -9 Combine like terms: 265 + -9 = 256 8k = 256 Divide each side by '8'. k = 32 Simplifying k = 32
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