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Simplifying 3v + 5 = 8 + -4(2v + -2) Reorder the terms: 5 + 3v = 8 + -4(2v + -2) Reorder the terms: 5 + 3v = 8 + -4(-2 + 2v) 5 + 3v = 8 + (-2 * -4 + 2v * -4) 5 + 3v = 8 + (8 + -8v) Combine like terms: 8 + 8 = 16 5 + 3v = 16 + -8v Solving 5 + 3v = 16 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 5 + 3v + 8v = 16 + -8v + 8v Combine like terms: 3v + 8v = 11v 5 + 11v = 16 + -8v + 8v Combine like terms: -8v + 8v = 0 5 + 11v = 16 + 0 5 + 11v = 16 Add '-5' to each side of the equation. 5 + -5 + 11v = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 11v = 16 + -5 11v = 16 + -5 Combine like terms: 16 + -5 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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