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Simplifying 3v + 6 = 9 + -4(2v + -2) Reorder the terms: 6 + 3v = 9 + -4(2v + -2) Reorder the terms: 6 + 3v = 9 + -4(-2 + 2v) 6 + 3v = 9 + (-2 * -4 + 2v * -4) 6 + 3v = 9 + (8 + -8v) Combine like terms: 9 + 8 = 17 6 + 3v = 17 + -8v Solving 6 + 3v = 17 + -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. 6 + 3v + 8v = 17 + -8v + 8v Combine like terms: 3v + 8v = 11v 6 + 11v = 17 + -8v + 8v Combine like terms: -8v + 8v = 0 6 + 11v = 17 + 0 6 + 11v = 17 Add '-6' to each side of the equation. 6 + -6 + 11v = 17 + -6 Combine like terms: 6 + -6 = 0 0 + 11v = 17 + -6 11v = 17 + -6 Combine like terms: 17 + -6 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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