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Simplifying 6.2v + -1(2.1v + -5) = 1.1 + -3.7v Reorder the terms: 6.2v + -1(-5 + 2.1v) = 1.1 + -3.7v 6.2v + (-5 * -1 + 2.1v * -1) = 1.1 + -3.7v 6.2v + (5 + -2.1v) = 1.1 + -3.7v Reorder the terms: 5 + 6.2v + -2.1v = 1.1 + -3.7v Combine like terms: 6.2v + -2.1v = 4.1v 5 + 4.1v = 1.1 + -3.7v Solving 5 + 4.1v = 1.1 + -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. 5 + 4.1v + 3.7v = 1.1 + -3.7v + 3.7v Combine like terms: 4.1v + 3.7v = 7.8v 5 + 7.8v = 1.1 + -3.7v + 3.7v Combine like terms: -3.7v + 3.7v = 0.0 5 + 7.8v = 1.1 + 0.0 5 + 7.8v = 1.1 Add '-5' to each side of the equation. 5 + -5 + 7.8v = 1.1 + -5 Combine like terms: 5 + -5 = 0 0 + 7.8v = 1.1 + -5 7.8v = 1.1 + -5 Combine like terms: 1.1 + -5 = -3.9 7.8v = -3.9 Divide each side by '7.8'. v = -0.5 Simplifying v = -0.5
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