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Simplifying -4.5v + 6.98 = -11.3v + 5.2v + 6.34 Reorder the terms: 6.98 + -4.5v = -11.3v + 5.2v + 6.34 Reorder the terms: 6.98 + -4.5v = 6.34 + -11.3v + 5.2v Combine like terms: -11.3v + 5.2v = -6.1v 6.98 + -4.5v = 6.34 + -6.1v Solving 6.98 + -4.5v = 6.34 + -6.1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6.1v' to each side of the equation. 6.98 + -4.5v + 6.1v = 6.34 + -6.1v + 6.1v Combine like terms: -4.5v + 6.1v = 1.6v 6.98 + 1.6v = 6.34 + -6.1v + 6.1v Combine like terms: -6.1v + 6.1v = 0.0 6.98 + 1.6v = 6.34 + 0.0 6.98 + 1.6v = 6.34 Add '-6.98' to each side of the equation. 6.98 + -6.98 + 1.6v = 6.34 + -6.98 Combine like terms: 6.98 + -6.98 = 0.00 0.00 + 1.6v = 6.34 + -6.98 1.6v = 6.34 + -6.98 Combine like terms: 6.34 + -6.98 = -0.64 1.6v = -0.64 Divide each side by '1.6'. v = -0.4 Simplifying v = -0.4
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