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Simplifying 4 + -7(1 + -2v) = -33 + 8v 4 + (1 * -7 + -2v * -7) = -33 + 8v 4 + (-7 + 14v) = -33 + 8v Combine like terms: 4 + -7 = -3 -3 + 14v = -33 + 8v Solving -3 + 14v = -33 + 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. -3 + 14v + -8v = -33 + 8v + -8v Combine like terms: 14v + -8v = 6v -3 + 6v = -33 + 8v + -8v Combine like terms: 8v + -8v = 0 -3 + 6v = -33 + 0 -3 + 6v = -33 Add '3' to each side of the equation. -3 + 3 + 6v = -33 + 3 Combine like terms: -3 + 3 = 0 0 + 6v = -33 + 3 6v = -33 + 3 Combine like terms: -33 + 3 = -30 6v = -30 Divide each side by '6'. v = -5 Simplifying v = -5
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