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Simplifying 5v + 6 = 4v + 8v + -8 Reorder the terms: 6 + 5v = 4v + 8v + -8 Reorder the terms: 6 + 5v = -8 + 4v + 8v Combine like terms: 4v + 8v = 12v 6 + 5v = -8 + 12v Solving 6 + 5v = -8 + 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. 6 + 5v + -12v = -8 + 12v + -12v Combine like terms: 5v + -12v = -7v 6 + -7v = -8 + 12v + -12v Combine like terms: 12v + -12v = 0 6 + -7v = -8 + 0 6 + -7v = -8 Add '-6' to each side of the equation. 6 + -6 + -7v = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -7v = -8 + -6 -7v = -8 + -6 Combine like terms: -8 + -6 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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