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Simplifying 4(2v + 7) + v = 35 + 8v Reorder the terms: 4(7 + 2v) + v = 35 + 8v (7 * 4 + 2v * 4) + v = 35 + 8v (28 + 8v) + v = 35 + 8v Combine like terms: 8v + v = 9v 28 + 9v = 35 + 8v Solving 28 + 9v = 35 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 28 + 9v + -8v = 35 + 8v + -8v Combine like terms: 9v + -8v = 1v 28 + 1v = 35 + 8v + -8v Combine like terms: 8v + -8v = 0 28 + 1v = 35 + 0 28 + 1v = 35 Add '-28' to each side of the equation. 28 + -28 + 1v = 35 + -28 Combine like terms: 28 + -28 = 0 0 + 1v = 35 + -28 1v = 35 + -28 Combine like terms: 35 + -28 = 7 1v = 7 Divide each side by '1'. v = 7 Simplifying v = 7
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