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Simplifying -4.9v + -0.9v + 6.74 = 6.1 + -5.7v Reorder the terms: 6.74 + -4.9v + -0.9v = 6.1 + -5.7v Combine like terms: -4.9v + -0.9v = -5.8v 6.74 + -5.8v = 6.1 + -5.7v Solving 6.74 + -5.8v = 6.1 + -5.7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5.7v' to each side of the equation. 6.74 + -5.8v + 5.7v = 6.1 + -5.7v + 5.7v Combine like terms: -5.8v + 5.7v = -0.1v 6.74 + -0.1v = 6.1 + -5.7v + 5.7v Combine like terms: -5.7v + 5.7v = 0.0 6.74 + -0.1v = 6.1 + 0.0 6.74 + -0.1v = 6.1 Add '-6.74' to each side of the equation. 6.74 + -6.74 + -0.1v = 6.1 + -6.74 Combine like terms: 6.74 + -6.74 = 0.00 0.00 + -0.1v = 6.1 + -6.74 -0.1v = 6.1 + -6.74 Combine like terms: 6.1 + -6.74 = -0.64 -0.1v = -0.64 Divide each side by '-0.1'. v = 6.4 Simplifying v = 6.4
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