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Simplifying -4(5v + -1) + 8v = 8 + 3(2v + -4) Reorder the terms: -4(-1 + 5v) + 8v = 8 + 3(2v + -4) (-1 * -4 + 5v * -4) + 8v = 8 + 3(2v + -4) (4 + -20v) + 8v = 8 + 3(2v + -4) Combine like terms: -20v + 8v = -12v 4 + -12v = 8 + 3(2v + -4) Reorder the terms: 4 + -12v = 8 + 3(-4 + 2v) 4 + -12v = 8 + (-4 * 3 + 2v * 3) 4 + -12v = 8 + (-12 + 6v) Combine like terms: 8 + -12 = -4 4 + -12v = -4 + 6v Solving 4 + -12v = -4 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 4 + -12v + -6v = -4 + 6v + -6v Combine like terms: -12v + -6v = -18v 4 + -18v = -4 + 6v + -6v Combine like terms: 6v + -6v = 0 4 + -18v = -4 + 0 4 + -18v = -4 Add '-4' to each side of the equation. 4 + -4 + -18v = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -18v = -4 + -4 -18v = -4 + -4 Combine like terms: -4 + -4 = -8 -18v = -8 Divide each side by '-18'. v = 0.4444444444 Simplifying v = 0.4444444444
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