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Simplifying 5v + -2 = 7v + 8 Reorder the terms: -2 + 5v = 7v + 8 Reorder the terms: -2 + 5v = 8 + 7v Solving -2 + 5v = 8 + 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. -2 + 5v + -7v = 8 + 7v + -7v Combine like terms: 5v + -7v = -2v -2 + -2v = 8 + 7v + -7v Combine like terms: 7v + -7v = 0 -2 + -2v = 8 + 0 -2 + -2v = 8 Add '2' to each side of the equation. -2 + 2 + -2v = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2v = 8 + 2 -2v = 8 + 2 Combine like terms: 8 + 2 = 10 -2v = 10 Divide each side by '-2'. v = -5 Simplifying v = -5
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