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Simplifying 47 + -5v = 2v + 5 Reorder the terms: 47 + -5v = 5 + 2v Solving 47 + -5v = 5 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 47 + -5v + -2v = 5 + 2v + -2v Combine like terms: -5v + -2v = -7v 47 + -7v = 5 + 2v + -2v Combine like terms: 2v + -2v = 0 47 + -7v = 5 + 0 47 + -7v = 5 Add '-47' to each side of the equation. 47 + -47 + -7v = 5 + -47 Combine like terms: 47 + -47 = 0 0 + -7v = 5 + -47 -7v = 5 + -47 Combine like terms: 5 + -47 = -42 -7v = -42 Divide each side by '-7'. v = 6 Simplifying v = 6
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