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Simplifying 5v + 6v + -3 = -4v + 42 Reorder the terms: -3 + 5v + 6v = -4v + 42 Combine like terms: 5v + 6v = 11v -3 + 11v = -4v + 42 Reorder the terms: -3 + 11v = 42 + -4v Solving -3 + 11v = 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 + 11v + 4v = 42 + -4v + 4v Combine like terms: 11v + 4v = 15v -3 + 15v = 42 + -4v + 4v Combine like terms: -4v + 4v = 0 -3 + 15v = 42 + 0 -3 + 15v = 42 Add '3' to each side of the equation. -3 + 3 + 15v = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 15v = 42 + 3 15v = 42 + 3 Combine like terms: 42 + 3 = 45 15v = 45 Divide each side by '15'. v = 3 Simplifying v = 3
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