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Simplifying -6(-5v + -5) + -5v = 3 + -2v Reorder the terms: -6(-5 + -5v) + -5v = 3 + -2v (-5 * -6 + -5v * -6) + -5v = 3 + -2v (30 + 30v) + -5v = 3 + -2v Combine like terms: 30v + -5v = 25v 30 + 25v = 3 + -2v Solving 30 + 25v = 3 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 30 + 25v + 2v = 3 + -2v + 2v Combine like terms: 25v + 2v = 27v 30 + 27v = 3 + -2v + 2v Combine like terms: -2v + 2v = 0 30 + 27v = 3 + 0 30 + 27v = 3 Add '-30' to each side of the equation. 30 + -30 + 27v = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 27v = 3 + -30 27v = 3 + -30 Combine like terms: 3 + -30 = -27 27v = -27 Divide each side by '27'. v = -1 Simplifying v = -1
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