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Simplifying 2v = v + 6(v + -5) Reorder the terms: 2v = v + 6(-5 + v) 2v = v + (-5 * 6 + v * 6) 2v = v + (-30 + 6v) Reorder the terms: 2v = -30 + v + 6v Combine like terms: v + 6v = 7v 2v = -30 + 7v Solving 2v = -30 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 2v + -7v = -30 + 7v + -7v Combine like terms: 2v + -7v = -5v -5v = -30 + 7v + -7v Combine like terms: 7v + -7v = 0 -5v = -30 + 0 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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