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Simplifying -30 = -4v + 42 + -5v Reorder the terms: -30 = 42 + -4v + -5v Combine like terms: -4v + -5v = -9v -30 = 42 + -9v Solving -30 = 42 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -30 + 9v = 42 + -9v + 9v Combine like terms: -9v + 9v = 0 -30 + 9v = 42 + 0 -30 + 9v = 42 Add '30' to each side of the equation. -30 + 30 + 9v = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 9v = 42 + 30 9v = 42 + 30 Combine like terms: 42 + 30 = 72 9v = 72 Divide each side by '9'. v = 8 Simplifying v = 8
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