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Simplifying -32 = v + 42 + -5v Reorder the terms: -32 = 42 + v + -5v Combine like terms: v + -5v = -4v -32 = 42 + -4v Solving -32 = 42 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -32 + 4v = 42 + -4v + 4v Combine like terms: -4v + 4v = 0 -32 + 4v = 42 + 0 -32 + 4v = 42 Add '32' to each side of the equation. -32 + 32 + 4v = 42 + 32 Combine like terms: -32 + 32 = 0 0 + 4v = 42 + 32 4v = 42 + 32 Combine like terms: 42 + 32 = 74 4v = 74 Divide each side by '4'. v = 18.5 Simplifying v = 18.5
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