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