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Simplifying 4.5v + 13.7 = 2.8v + 5.2 Reorder the terms: 13.7 + 4.5v = 2.8v + 5.2 Reorder the terms: 13.7 + 4.5v = 5.2 + 2.8v Solving 13.7 + 4.5v = 5.2 + 2.8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.8v' to each side of the equation. 13.7 + 4.5v + -2.8v = 5.2 + 2.8v + -2.8v Combine like terms: 4.5v + -2.8v = 1.7v 13.7 + 1.7v = 5.2 + 2.8v + -2.8v Combine like terms: 2.8v + -2.8v = 0.0 13.7 + 1.7v = 5.2 + 0.0 13.7 + 1.7v = 5.2 Add '-13.7' to each side of the equation. 13.7 + -13.7 + 1.7v = 5.2 + -13.7 Combine like terms: 13.7 + -13.7 = 0.0 0.0 + 1.7v = 5.2 + -13.7 1.7v = 5.2 + -13.7 Combine like terms: 5.2 + -13.7 = -8.5 1.7v = -8.5 Divide each side by '1.7'. v = -5 Simplifying v = -5
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