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Simplifying -2(3v + -5) + 8v = -4(v + 1) Reorder the terms: -2(-5 + 3v) + 8v = -4(v + 1) (-5 * -2 + 3v * -2) + 8v = -4(v + 1) (10 + -6v) + 8v = -4(v + 1) Combine like terms: -6v + 8v = 2v 10 + 2v = -4(v + 1) Reorder the terms: 10 + 2v = -4(1 + v) 10 + 2v = (1 * -4 + v * -4) 10 + 2v = (-4 + -4v) Solving 10 + 2v = -4 + -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. 10 + 2v + 4v = -4 + -4v + 4v Combine like terms: 2v + 4v = 6v 10 + 6v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 10 + 6v = -4 + 0 10 + 6v = -4 Add '-10' to each side of the equation. 10 + -10 + 6v = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 6v = -4 + -10 6v = -4 + -10 Combine like terms: -4 + -10 = -14 6v = -14 Divide each side by '6'. v = -2.333333333 Simplifying v = -2.333333333
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