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Simplifying 4.5v + 4 = 10.5 + -2v Reorder the terms: 4 + 4.5v = 10.5 + -2v Solving 4 + 4.5v = 10.5 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 4 + 4.5v + 2v = 10.5 + -2v + 2v Combine like terms: 4.5v + 2v = 6.5v 4 + 6.5v = 10.5 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + 6.5v = 10.5 + 0 4 + 6.5v = 10.5 Add '-4' to each side of the equation. 4 + -4 + 6.5v = 10.5 + -4 Combine like terms: 4 + -4 = 0 0 + 6.5v = 10.5 + -4 6.5v = 10.5 + -4 Combine like terms: 10.5 + -4 = 6.5 6.5v = 6.5 Divide each side by '6.5'. v = 1 Simplifying v = 1
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