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Simplifying 7 + 2v = 6v + -3 + 6v Reorder the terms: 7 + 2v = -3 + 6v + 6v Combine like terms: 6v + 6v = 12v 7 + 2v = -3 + 12v Solving 7 + 2v = -3 + 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. 7 + 2v + -12v = -3 + 12v + -12v Combine like terms: 2v + -12v = -10v 7 + -10v = -3 + 12v + -12v Combine like terms: 12v + -12v = 0 7 + -10v = -3 + 0 7 + -10v = -3 Add '-7' to each side of the equation. 7 + -7 + -10v = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -10v = -3 + -7 -10v = -3 + -7 Combine like terms: -3 + -7 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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