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Simplifying -2(20v + 12) = -4(8v + 20) Reorder the terms: -2(12 + 20v) = -4(8v + 20) (12 * -2 + 20v * -2) = -4(8v + 20) (-24 + -40v) = -4(8v + 20) Reorder the terms: -24 + -40v = -4(20 + 8v) -24 + -40v = (20 * -4 + 8v * -4) -24 + -40v = (-80 + -32v) Solving -24 + -40v = -80 + -32v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32v' to each side of the equation. -24 + -40v + 32v = -80 + -32v + 32v Combine like terms: -40v + 32v = -8v -24 + -8v = -80 + -32v + 32v Combine like terms: -32v + 32v = 0 -24 + -8v = -80 + 0 -24 + -8v = -80 Add '24' to each side of the equation. -24 + 24 + -8v = -80 + 24 Combine like terms: -24 + 24 = 0 0 + -8v = -80 + 24 -8v = -80 + 24 Combine like terms: -80 + 24 = -56 -8v = -56 Divide each side by '-8'. v = 7 Simplifying v = 7
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