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Simplifying -7(v + 7) = -2v + -34 Reorder the terms: -7(7 + v) = -2v + -34 (7 * -7 + v * -7) = -2v + -34 (-49 + -7v) = -2v + -34 Reorder the terms: -49 + -7v = -34 + -2v Solving -49 + -7v = -34 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -49 + -7v + 2v = -34 + -2v + 2v Combine like terms: -7v + 2v = -5v -49 + -5v = -34 + -2v + 2v Combine like terms: -2v + 2v = 0 -49 + -5v = -34 + 0 -49 + -5v = -34 Add '49' to each side of the equation. -49 + 49 + -5v = -34 + 49 Combine like terms: -49 + 49 = 0 0 + -5v = -34 + 49 -5v = -34 + 49 Combine like terms: -34 + 49 = 15 -5v = 15 Divide each side by '-5'. v = -3 Simplifying v = -3
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