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Simplifying 35 + 7v = 8(1 + 2v) 35 + 7v = (1 * 8 + 2v * 8) 35 + 7v = (8 + 16v) Solving 35 + 7v = 8 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 35 + 7v + -16v = 8 + 16v + -16v Combine like terms: 7v + -16v = -9v 35 + -9v = 8 + 16v + -16v Combine like terms: 16v + -16v = 0 35 + -9v = 8 + 0 35 + -9v = 8 Add '-35' to each side of the equation. 35 + -35 + -9v = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -9v = 8 + -35 -9v = 8 + -35 Combine like terms: 8 + -35 = -27 -9v = -27 Divide each side by '-9'. v = 3 Simplifying v = 3
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