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Simplifying -7v + 10v = -3(1 + -3v) + -1(5v + -4) Combine like terms: -7v + 10v = 3v 3v = -3(1 + -3v) + -1(5v + -4) 3v = (1 * -3 + -3v * -3) + -1(5v + -4) 3v = (-3 + 9v) + -1(5v + -4) Reorder the terms: 3v = -3 + 9v + -1(-4 + 5v) 3v = -3 + 9v + (-4 * -1 + 5v * -1) 3v = -3 + 9v + (4 + -5v) Reorder the terms: 3v = -3 + 4 + 9v + -5v Combine like terms: -3 + 4 = 1 3v = 1 + 9v + -5v Combine like terms: 9v + -5v = 4v 3v = 1 + 4v Solving 3v = 1 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 3v + -4v = 1 + 4v + -4v Combine like terms: 3v + -4v = -1v -1v = 1 + 4v + -4v Combine like terms: 4v + -4v = 0 -1v = 1 + 0 -1v = 1 Divide each side by '-1'. v = -1 Simplifying v = -1
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