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Simplifying -0.8v + 4.1 = 3.7v + -0.4 Reorder the terms: 4.1 + -0.8v = 3.7v + -0.4 Reorder the terms: 4.1 + -0.8v = -0.4 + 3.7v Solving 4.1 + -0.8v = -0.4 + 3.7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3.7v' to each side of the equation. 4.1 + -0.8v + -3.7v = -0.4 + 3.7v + -3.7v Combine like terms: -0.8v + -3.7v = -4.5v 4.1 + -4.5v = -0.4 + 3.7v + -3.7v Combine like terms: 3.7v + -3.7v = 0.0 4.1 + -4.5v = -0.4 + 0.0 4.1 + -4.5v = -0.4 Add '-4.1' to each side of the equation. 4.1 + -4.1 + -4.5v = -0.4 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + -4.5v = -0.4 + -4.1 -4.5v = -0.4 + -4.1 Combine like terms: -0.4 + -4.1 = -4.5 -4.5v = -4.5 Divide each side by '-4.5'. v = 1 Simplifying v = 1
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