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Simplifying -5 = v + 2 + 6v Reorder the terms: -5 = 2 + v + 6v Combine like terms: v + 6v = 7v -5 = 2 + 7v Solving -5 = 2 + 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. -5 + -7v = 2 + 7v + -7v Combine like terms: 7v + -7v = 0 -5 + -7v = 2 + 0 -5 + -7v = 2 Add '5' to each side of the equation. -5 + 5 + -7v = 2 + 5 Combine like terms: -5 + 5 = 0 0 + -7v = 2 + 5 -7v = 2 + 5 Combine like terms: 2 + 5 = 7 -7v = 7 Divide each side by '-7'. v = -1 Simplifying v = -1
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