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Simplifying -3v + 5(-8 + -3) = 34 + 6v Combine like terms: -8 + -3 = -11 -3v + 5(-11) = 34 + 6v Multiply 5 * -11 -3v + -55 = 34 + 6v Reorder the terms: -55 + -3v = 34 + 6v Solving -55 + -3v = 34 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -55 + -3v + -6v = 34 + 6v + -6v Combine like terms: -3v + -6v = -9v -55 + -9v = 34 + 6v + -6v Combine like terms: 6v + -6v = 0 -55 + -9v = 34 + 0 -55 + -9v = 34 Add '55' to each side of the equation. -55 + 55 + -9v = 34 + 55 Combine like terms: -55 + 55 = 0 0 + -9v = 34 + 55 -9v = 34 + 55 Combine like terms: 34 + 55 = 89 -9v = 89 Divide each side by '-9'. v = -9.888888889 Simplifying v = -9.888888889
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