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Simplifying 2.5v + -1.5v + 8.2 = 1.3 + -5.6 Reorder the terms: 8.2 + 2.5v + -1.5v = 1.3 + -5.6 Combine like terms: 2.5v + -1.5v = 1v 8.2 + 1v = 1.3 + -5.6 Combine like terms: 1.3 + -5.6 = -4.3 8.2 + 1v = -4.3 Solving 8.2 + 1v = -4.3 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8.2' to each side of the equation. 8.2 + -8.2 + 1v = -4.3 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 1v = -4.3 + -8.2 1v = -4.3 + -8.2 Combine like terms: -4.3 + -8.2 = -12.5 1v = -12.5 Divide each side by '1'. v = -12.5 Simplifying v = -12.5
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