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Simplifying -4(1 + v) = -40 + 8v (1 * -4 + v * -4) = -40 + 8v (-4 + -4v) = -40 + 8v Solving -4 + -4v = -40 + 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. -4 + -4v + -8v = -40 + 8v + -8v Combine like terms: -4v + -8v = -12v -4 + -12v = -40 + 8v + -8v Combine like terms: 8v + -8v = 0 -4 + -12v = -40 + 0 -4 + -12v = -40 Add '4' to each side of the equation. -4 + 4 + -12v = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -12v = -40 + 4 -12v = -40 + 4 Combine like terms: -40 + 4 = -36 -12v = -36 Divide each side by '-12'. v = 3 Simplifying v = 3
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