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Simplifying -8v + -40 = -4(5v + 6) + 8v Reorder the terms: -40 + -8v = -4(5v + 6) + 8v Reorder the terms: -40 + -8v = -4(6 + 5v) + 8v -40 + -8v = (6 * -4 + 5v * -4) + 8v -40 + -8v = (-24 + -20v) + 8v Combine like terms: -20v + 8v = -12v -40 + -8v = -24 + -12v Solving -40 + -8v = -24 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -40 + -8v + 12v = -24 + -12v + 12v Combine like terms: -8v + 12v = 4v -40 + 4v = -24 + -12v + 12v Combine like terms: -12v + 12v = 0 -40 + 4v = -24 + 0 -40 + 4v = -24 Add '40' to each side of the equation. -40 + 40 + 4v = -24 + 40 Combine like terms: -40 + 40 = 0 0 + 4v = -24 + 40 4v = -24 + 40 Combine like terms: -24 + 40 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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