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Simplifying 3v + 1 = 4 + -4(2v + -2) Reorder the terms: 1 + 3v = 4 + -4(2v + -2) Reorder the terms: 1 + 3v = 4 + -4(-2 + 2v) 1 + 3v = 4 + (-2 * -4 + 2v * -4) 1 + 3v = 4 + (8 + -8v) Combine like terms: 4 + 8 = 12 1 + 3v = 12 + -8v Solving 1 + 3v = 12 + -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. 1 + 3v + 8v = 12 + -8v + 8v Combine like terms: 3v + 8v = 11v 1 + 11v = 12 + -8v + 8v Combine like terms: -8v + 8v = 0 1 + 11v = 12 + 0 1 + 11v = 12 Add '-1' to each side of the equation. 1 + -1 + 11v = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 11v = 12 + -1 11v = 12 + -1 Combine like terms: 12 + -1 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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