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Simplifying 14v + -171 = 45v + -7 Reorder the terms: -171 + 14v = 45v + -7 Reorder the terms: -171 + 14v = -7 + 45v Solving -171 + 14v = -7 + 45v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-45v' to each side of the equation. -171 + 14v + -45v = -7 + 45v + -45v Combine like terms: 14v + -45v = -31v -171 + -31v = -7 + 45v + -45v Combine like terms: 45v + -45v = 0 -171 + -31v = -7 + 0 -171 + -31v = -7 Add '171' to each side of the equation. -171 + 171 + -31v = -7 + 171 Combine like terms: -171 + 171 = 0 0 + -31v = -7 + 171 -31v = -7 + 171 Combine like terms: -7 + 171 = 164 -31v = 164 Divide each side by '-31'. v = -5.290322581 Simplifying v = -5.290322581
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