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Simplifying 3v + -2 = 8v + -32 Reorder the terms: -2 + 3v = 8v + -32 Reorder the terms: -2 + 3v = -32 + 8v Solving -2 + 3v = -32 + 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. -2 + 3v + -8v = -32 + 8v + -8v Combine like terms: 3v + -8v = -5v -2 + -5v = -32 + 8v + -8v Combine like terms: 8v + -8v = 0 -2 + -5v = -32 + 0 -2 + -5v = -32 Add '2' to each side of the equation. -2 + 2 + -5v = -32 + 2 Combine like terms: -2 + 2 = 0 0 + -5v = -32 + 2 -5v = -32 + 2 Combine like terms: -32 + 2 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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