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Simplifying 2(1 + 8v) + 1 = 7v + 39 (1 * 2 + 8v * 2) + 1 = 7v + 39 (2 + 16v) + 1 = 7v + 39 Reorder the terms: 2 + 1 + 16v = 7v + 39 Combine like terms: 2 + 1 = 3 3 + 16v = 7v + 39 Reorder the terms: 3 + 16v = 39 + 7v Solving 3 + 16v = 39 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 3 + 16v + -7v = 39 + 7v + -7v Combine like terms: 16v + -7v = 9v 3 + 9v = 39 + 7v + -7v Combine like terms: 7v + -7v = 0 3 + 9v = 39 + 0 3 + 9v = 39 Add '-3' to each side of the equation. 3 + -3 + 9v = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 9v = 39 + -3 9v = 39 + -3 Combine like terms: 39 + -3 = 36 9v = 36 Divide each side by '9'. v = 4 Simplifying v = 4
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