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Simplifying 9v + 32 = 5(v + 8) Reorder the terms: 32 + 9v = 5(v + 8) Reorder the terms: 32 + 9v = 5(8 + v) 32 + 9v = (8 * 5 + v * 5) 32 + 9v = (40 + 5v) Solving 32 + 9v = 40 + 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. 32 + 9v + -5v = 40 + 5v + -5v Combine like terms: 9v + -5v = 4v 32 + 4v = 40 + 5v + -5v Combine like terms: 5v + -5v = 0 32 + 4v = 40 + 0 32 + 4v = 40 Add '-32' to each side of the equation. 32 + -32 + 4v = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 4v = 40 + -32 4v = 40 + -32 Combine like terms: 40 + -32 = 8 4v = 8 Divide each side by '4'. v = 2 Simplifying v = 2
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