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Simplifying -5(v + 6) = -9v + -34 Reorder the terms: -5(6 + v) = -9v + -34 (6 * -5 + v * -5) = -9v + -34 (-30 + -5v) = -9v + -34 Reorder the terms: -30 + -5v = -34 + -9v Solving -30 + -5v = -34 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -30 + -5v + 9v = -34 + -9v + 9v Combine like terms: -5v + 9v = 4v -30 + 4v = -34 + -9v + 9v Combine like terms: -9v + 9v = 0 -30 + 4v = -34 + 0 -30 + 4v = -34 Add '30' to each side of the equation. -30 + 30 + 4v = -34 + 30 Combine like terms: -30 + 30 = 0 0 + 4v = -34 + 30 4v = -34 + 30 Combine like terms: -34 + 30 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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