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Simplifying -5.6v + 5.1 = -3.1v + 4.9 Reorder the terms: 5.1 + -5.6v = -3.1v + 4.9 Reorder the terms: 5.1 + -5.6v = 4.9 + -3.1v Solving 5.1 + -5.6v = 4.9 + -3.1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3.1v' to each side of the equation. 5.1 + -5.6v + 3.1v = 4.9 + -3.1v + 3.1v Combine like terms: -5.6v + 3.1v = -2.5v 5.1 + -2.5v = 4.9 + -3.1v + 3.1v Combine like terms: -3.1v + 3.1v = 0.0 5.1 + -2.5v = 4.9 + 0.0 5.1 + -2.5v = 4.9 Add '-5.1' to each side of the equation. 5.1 + -5.1 + -2.5v = 4.9 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + -2.5v = 4.9 + -5.1 -2.5v = 4.9 + -5.1 Combine like terms: 4.9 + -5.1 = -0.2 -2.5v = -0.2 Divide each side by '-2.5'. v = 0.08 Simplifying v = 0.08
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