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Simplifying -5v + 6 = -12v + 62 Reorder the terms: 6 + -5v = -12v + 62 Reorder the terms: 6 + -5v = 62 + -12v Solving 6 + -5v = 62 + -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 = 62 + -12v + 12v Combine like terms: -5v + 12v = 7v 6 + 7v = 62 + -12v + 12v Combine like terms: -12v + 12v = 0 6 + 7v = 62 + 0 6 + 7v = 62 Add '-6' to each side of the equation. 6 + -6 + 7v = 62 + -6 Combine like terms: 6 + -6 = 0 0 + 7v = 62 + -6 7v = 62 + -6 Combine like terms: 62 + -6 = 56 7v = 56 Divide each side by '7'. v = 8 Simplifying v = 8
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