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Simplifying 2.0v + 40 = 2.5(v + 5.0) Reorder the terms: 40 + 2.0v = 2.5(v + 5.0) Reorder the terms: 40 + 2.0v = 2.5(5.0 + v) 40 + 2.0v = (5.0 * 2.5 + v * 2.5) 40 + 2.0v = (12.5 + 2.5v) Solving 40 + 2.0v = 12.5 + 2.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.5v' to each side of the equation. 40 + 2.0v + -2.5v = 12.5 + 2.5v + -2.5v Combine like terms: 2.0v + -2.5v = -0.5v 40 + -0.5v = 12.5 + 2.5v + -2.5v Combine like terms: 2.5v + -2.5v = 0.0 40 + -0.5v = 12.5 + 0.0 40 + -0.5v = 12.5 Add '-40' to each side of the equation. 40 + -40 + -0.5v = 12.5 + -40 Combine like terms: 40 + -40 = 0 0 + -0.5v = 12.5 + -40 -0.5v = 12.5 + -40 Combine like terms: 12.5 + -40 = -27.5 -0.5v = -27.5 Divide each side by '-0.5'. v = 55 Simplifying v = 55
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