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Simplifying -34 = 2[v + -7] + -7v Reorder the terms: -34 = 2[-7 + v] + -7v -34 = [-7 * 2 + v * 2] + -7v -34 = [-14 + 2v] + -7v Combine like terms: 2v + -7v = -5v -34 = -14 + -5v Solving -34 = -14 + -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. -34 + 5v = -14 + -5v + 5v Combine like terms: -5v + 5v = 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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