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Simplifying 7v + -3(1 + -3v) = -3 + 3v 7v + (1 * -3 + -3v * -3) = -3 + 3v 7v + (-3 + 9v) = -3 + 3v Reorder the terms: -3 + 7v + 9v = -3 + 3v Combine like terms: 7v + 9v = 16v -3 + 16v = -3 + 3v Add '3' to each side of the equation. -3 + 3 + 16v = -3 + 3 + 3v Combine like terms: -3 + 3 = 0 0 + 16v = -3 + 3 + 3v 16v = -3 + 3 + 3v Combine like terms: -3 + 3 = 0 16v = 0 + 3v 16v = 3v Solving 16v = 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 16v + -3v = 3v + -3v Combine like terms: 16v + -3v = 13v 13v = 3v + -3v Combine like terms: 3v + -3v = 0 13v = 0 Divide each side by '13'. v = 0 Simplifying v = 0
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