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Simplifying 5v + 1 = -9 + -7v + 2v Reorder the terms: 1 + 5v = -9 + -7v + 2v Combine like terms: -7v + 2v = -5v 1 + 5v = -9 + -5v Solving 1 + 5v = -9 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 1 + 5v + 5v = -9 + -5v + 5v Combine like terms: 5v + 5v = 10v 1 + 10v = -9 + -5v + 5v Combine like terms: -5v + 5v = 0 1 + 10v = -9 + 0 1 + 10v = -9 Add '-1' to each side of the equation. 1 + -1 + 10v = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 10v = -9 + -1 10v = -9 + -1 Combine like terms: -9 + -1 = -10 10v = -10 Divide each side by '10'. v = -1 Simplifying v = -1
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