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Simplifying 4 + 3v + 2v = -8 + 7v Combine like terms: 3v + 2v = 5v 4 + 5v = -8 + 7v Solving 4 + 5v = -8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 4 + 5v + -7v = -8 + 7v + -7v Combine like terms: 5v + -7v = -2v 4 + -2v = -8 + 7v + -7v Combine like terms: 7v + -7v = 0 4 + -2v = -8 + 0 4 + -2v = -8 Add '-4' to each side of the equation. 4 + -4 + -2v = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = -8 + -4 -2v = -8 + -4 Combine like terms: -8 + -4 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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