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Simplifying -2(5v + -2) + 8v = -5v + -8 Reorder the terms: -2(-2 + 5v) + 8v = -5v + -8 (-2 * -2 + 5v * -2) + 8v = -5v + -8 (4 + -10v) + 8v = -5v + -8 Combine like terms: -10v + 8v = -2v 4 + -2v = -5v + -8 Reorder the terms: 4 + -2v = -8 + -5v Solving 4 + -2v = -8 + -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. 4 + -2v + 5v = -8 + -5v + 5v Combine like terms: -2v + 5v = 3v 4 + 3v = -8 + -5v + 5v Combine like terms: -5v + 5v = 0 4 + 3v = -8 + 0 4 + 3v = -8 Add '-4' to each side of the equation. 4 + -4 + 3v = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = -8 + -4 3v = -8 + -4 Combine like terms: -8 + -4 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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