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Simplifying 227 = 4k + 7(5 + 4k) 227 = 4k + (5 * 7 + 4k * 7) 227 = 4k + (35 + 28k) Reorder the terms: 227 = 35 + 4k + 28k Combine like terms: 4k + 28k = 32k 227 = 35 + 32k Solving 227 = 35 + 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. 227 + -32k = 35 + 32k + -32k Combine like terms: 32k + -32k = 0 227 + -32k = 35 + 0 227 + -32k = 35 Add '-227' to each side of the equation. 227 + -227 + -32k = 35 + -227 Combine like terms: 227 + -227 = 0 0 + -32k = 35 + -227 -32k = 35 + -227 Combine like terms: 35 + -227 = -192 -32k = -192 Divide each side by '-32'. k = 6 Simplifying k = 6
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