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Simplifying 3v + -8 = -1(-5v + 2) Reorder the terms: -8 + 3v = -1(-5v + 2) Reorder the terms: -8 + 3v = -1(2 + -5v) -8 + 3v = (2 * -1 + -5v * -1) -8 + 3v = (-2 + 5v) Solving -8 + 3v = -2 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -8 + 3v + -5v = -2 + 5v + -5v Combine like terms: 3v + -5v = -2v -8 + -2v = -2 + 5v + -5v Combine like terms: 5v + -5v = 0 -8 + -2v = -2 + 0 -8 + -2v = -2 Add '8' to each side of the equation. -8 + 8 + -2v = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -2v = -2 + 8 -2v = -2 + 8 Combine like terms: -2 + 8 = 6 -2v = 6 Divide each side by '-2'. v = -3 Simplifying v = -3
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