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Simplifying 2v + -4v + 72 + 7v = 180 + (-43) Reorder the terms: 72 + 2v + -4v + 7v = 180 + (-43) Combine like terms: 2v + -4v = -2v 72 + -2v + 7v = 180 + (-43) Combine like terms: -2v + 7v = 5v 72 + 5v = 180 + (-43) 72 + 5v = 180 + -43 Combine like terms: 180 + -43 = 137 72 + 5v = 137 Solving 72 + 5v = 137 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + 5v = 137 + -72 Combine like terms: 72 + -72 = 0 0 + 5v = 137 + -72 5v = 137 + -72 Combine like terms: 137 + -72 = 65 5v = 65 Divide each side by '5'. v = 13 Simplifying v = 13
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