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