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Simplifying -3 = v + 42 + -5v Reorder the terms: -3 = 42 + v + -5v Combine like terms: v + -5v = -4v -3 = 42 + -4v Solving -3 = 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. -3 + 4v = 42 + -4v + 4v Combine like terms: -4v + 4v = 0 -3 + 4v = 42 + 0 -3 + 4v = 42 Add '3' to each side of the equation. -3 + 3 + 4v = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 4v = 42 + 3 4v = 42 + 3 Combine like terms: 42 + 3 = 45 4v = 45 Divide each side by '4'. v = 11.25 Simplifying v = 11.25
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