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Simplifying 256 = 8(8 + 4k) 256 = (8 * 8 + 4k * 8) 256 = (64 + 32k) Solving 256 = 64 + 32k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-32k' to each side of the equation. 256 + -32k = 64 + 32k + -32k Combine like terms: 32k + -32k = 0 256 + -32k = 64 + 0 256 + -32k = 64 Add '-256' to each side of the equation. 256 + -256 + -32k = 64 + -256 Combine like terms: 256 + -256 = 0 0 + -32k = 64 + -256 -32k = 64 + -256 Combine like terms: 64 + -256 = -192 -32k = -192 Divide each side by '-32'. k = 6 Simplifying k = 6
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