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Simplifying 2(3v + 5) = 5v + -11 Reorder the terms: 2(5 + 3v) = 5v + -11 (5 * 2 + 3v * 2) = 5v + -11 (10 + 6v) = 5v + -11 Reorder the terms: 10 + 6v = -11 + 5v Solving 10 + 6v = -11 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 10 + 6v + -5v = -11 + 5v + -5v Combine like terms: 6v + -5v = 1v 10 + 1v = -11 + 5v + -5v Combine like terms: 5v + -5v = 0 10 + 1v = -11 + 0 10 + 1v = -11 Add '-10' to each side of the equation. 10 + -10 + 1v = -11 + -10 Combine like terms: 10 + -10 = 0 0 + 1v = -11 + -10 1v = -11 + -10 Combine like terms: -11 + -10 = -21 1v = -21 Divide each side by '1'. v = -21 Simplifying v = -21
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