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Simplifying 329 = 4v + 7(1 + 6v) 329 = 4v + (1 * 7 + 6v * 7) 329 = 4v + (7 + 42v) Reorder the terms: 329 = 7 + 4v + 42v Combine like terms: 4v + 42v = 46v 329 = 7 + 46v Solving 329 = 7 + 46v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-46v' to each side of the equation. 329 + -46v = 7 + 46v + -46v Combine like terms: 46v + -46v = 0 329 + -46v = 7 + 0 329 + -46v = 7 Add '-329' to each side of the equation. 329 + -329 + -46v = 7 + -329 Combine like terms: 329 + -329 = 0 0 + -46v = 7 + -329 -46v = 7 + -329 Combine like terms: 7 + -329 = -322 -46v = -322 Divide each side by '-46'. v = 7 Simplifying v = 7
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