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Simplifying 5v + 2 = 7v + 16 Reorder the terms: 2 + 5v = 7v + 16 Reorder the terms: 2 + 5v = 16 + 7v Solving 2 + 5v = 16 + 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 = 16 + 7v + -7v Combine like terms: 5v + -7v = -2v 2 + -2v = 16 + 7v + -7v Combine like terms: 7v + -7v = 0 2 + -2v = 16 + 0 2 + -2v = 16 Add '-2' to each side of the equation. 2 + -2 + -2v = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -2v = 16 + -2 -2v = 16 + -2 Combine like terms: 16 + -2 = 14 -2v = 14 Divide each side by '-2'. v = -7 Simplifying v = -7
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