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Simplifying -2(v + 3) = -11(v + 1) + 2 Reorder the terms: -2(3 + v) = -11(v + 1) + 2 (3 * -2 + v * -2) = -11(v + 1) + 2 (-6 + -2v) = -11(v + 1) + 2 Reorder the terms: -6 + -2v = -11(1 + v) + 2 -6 + -2v = (1 * -11 + v * -11) + 2 -6 + -2v = (-11 + -11v) + 2 Reorder the terms: -6 + -2v = -11 + 2 + -11v Combine like terms: -11 + 2 = -9 -6 + -2v = -9 + -11v Solving -6 + -2v = -9 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. -6 + -2v + 11v = -9 + -11v + 11v Combine like terms: -2v + 11v = 9v -6 + 9v = -9 + -11v + 11v Combine like terms: -11v + 11v = 0 -6 + 9v = -9 + 0 -6 + 9v = -9 Add '6' to each side of the equation. -6 + 6 + 9v = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 9v = -9 + 6 9v = -9 + 6 Combine like terms: -9 + 6 = -3 9v = -3 Divide each side by '9'. v = -0.3333333333 Simplifying v = -0.3333333333
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