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Simplifying 180 = 5v + 5v + (v + 48) Reorder the terms: 180 = 5v + 5v + (48 + v) Remove parenthesis around (48 + v) 180 = 5v + 5v + 48 + v Reorder the terms: 180 = 48 + 5v + 5v + v Combine like terms: 5v + 5v = 10v 180 = 48 + 10v + v Combine like terms: 10v + v = 11v 180 = 48 + 11v Solving 180 = 48 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 180 + -11v = 48 + 11v + -11v Combine like terms: 11v + -11v = 0 180 + -11v = 48 + 0 180 + -11v = 48 Add '-180' to each side of the equation. 180 + -180 + -11v = 48 + -180 Combine like terms: 180 + -180 = 0 0 + -11v = 48 + -180 -11v = 48 + -180 Combine like terms: 48 + -180 = -132 -11v = -132 Divide each side by '-11'. v = 12 Simplifying v = 12
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