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Simplifying -0.75 + 2.1v = v + 0.2 + 1.6v Reorder the terms: -0.75 + 2.1v = 0.2 + v + 1.6v Combine like terms: v + 1.6v = 2.6v -0.75 + 2.1v = 0.2 + 2.6v Solving -0.75 + 2.1v = 0.2 + 2.6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.6v' to each side of the equation. -0.75 + 2.1v + -2.6v = 0.2 + 2.6v + -2.6v Combine like terms: 2.1v + -2.6v = -0.5v -0.75 + -0.5v = 0.2 + 2.6v + -2.6v Combine like terms: 2.6v + -2.6v = 0.0 -0.75 + -0.5v = 0.2 + 0.0 -0.75 + -0.5v = 0.2 Add '0.75' to each side of the equation. -0.75 + 0.75 + -0.5v = 0.2 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + -0.5v = 0.2 + 0.75 -0.5v = 0.2 + 0.75 Combine like terms: 0.2 + 0.75 = 0.95 -0.5v = 0.95 Divide each side by '-0.5'. v = -1.9 Simplifying v = -1.9
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