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Simplifying (3v + -5v + 1) + (-6v + 7v + 4) = 0 Reorder the terms: (1 + 3v + -5v) + (-6v + 7v + 4) = 0 Combine like terms: 3v + -5v = -2v (1 + -2v) + (-6v + 7v + 4) = 0 Remove parenthesis around (1 + -2v) 1 + -2v + (-6v + 7v + 4) = 0 Reorder the terms: 1 + -2v + (4 + -6v + 7v) = 0 Combine like terms: -6v + 7v = 1v 1 + -2v + (4 + 1v) = 0 Remove parenthesis around (4 + 1v) 1 + -2v + 4 + 1v = 0 Reorder the terms: 1 + 4 + -2v + 1v = 0 Combine like terms: 1 + 4 = 5 5 + -2v + 1v = 0 Combine like terms: -2v + 1v = -1v 5 + -1v = 0 Solving 5 + -1v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 0 + -5 -1v = 0 + -5 Combine like terms: 0 + -5 = -5 -1v = -5 Divide each side by '-1'. v = 5 Simplifying v = 5
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