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Simplifying v + (v + -16) + 3(30 + -1v) = 641 Reorder the terms: v + (-16 + v) + 3(30 + -1v) = 641 Remove parenthesis around (-16 + v) v + -16 + v + 3(30 + -1v) = 641 v + -16 + v + (30 * 3 + -1v * 3) = 641 v + -16 + v + (90 + -3v) = 641 Reorder the terms: -16 + 90 + v + v + -3v = 641 Combine like terms: -16 + 90 = 74 74 + v + v + -3v = 641 Combine like terms: v + v = 2v 74 + 2v + -3v = 641 Combine like terms: 2v + -3v = -1v 74 + -1v = 641 Solving 74 + -1v = 641 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -74 + -1v = 641 + -74 Combine like terms: 74 + -74 = 0 0 + -1v = 641 + -74 -1v = 641 + -74 Combine like terms: 641 + -74 = 567 -1v = 567 Divide each side by '-1'. v = -567 Simplifying v = -567
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