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Simplifying -34 + -7v = 2(-6v + -7) Reorder the terms: -34 + -7v = 2(-7 + -6v) -34 + -7v = (-7 * 2 + -6v * 2) -34 + -7v = (-14 + -12v) Solving -34 + -7v = -14 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -34 + -7v + 12v = -14 + -12v + 12v Combine like terms: -7v + 12v = 5v -34 + 5v = -14 + -12v + 12v Combine like terms: -12v + 12v = 0 -34 + 5v = -14 + 0 -34 + 5v = -14 Add '34' to each side of the equation. -34 + 34 + 5v = -14 + 34 Combine like terms: -34 + 34 = 0 0 + 5v = -14 + 34 5v = -14 + 34 Combine like terms: -14 + 34 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
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