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Simplifying 8(1 + v) + 3 = 35 + 5v (1 * 8 + v * 8) + 3 = 35 + 5v (8 + 8v) + 3 = 35 + 5v Reorder the terms: 8 + 3 + 8v = 35 + 5v Combine like terms: 8 + 3 = 11 11 + 8v = 35 + 5v Solving 11 + 8v = 35 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 11 + 8v + -5v = 35 + 5v + -5v Combine like terms: 8v + -5v = 3v 11 + 3v = 35 + 5v + -5v Combine like terms: 5v + -5v = 0 11 + 3v = 35 + 0 11 + 3v = 35 Add '-11' to each side of the equation. 11 + -11 + 3v = 35 + -11 Combine like terms: 11 + -11 = 0 0 + 3v = 35 + -11 3v = 35 + -11 Combine like terms: 35 + -11 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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