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Simplifying 20 + -1(4 + -9v) = 3v + -8 20 + (4 * -1 + -9v * -1) = 3v + -8 20 + (-4 + 9v) = 3v + -8 Combine like terms: 20 + -4 = 16 16 + 9v = 3v + -8 Reorder the terms: 16 + 9v = -8 + 3v Solving 16 + 9v = -8 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 16 + 9v + -3v = -8 + 3v + -3v Combine like terms: 9v + -3v = 6v 16 + 6v = -8 + 3v + -3v Combine like terms: 3v + -3v = 0 16 + 6v = -8 + 0 16 + 6v = -8 Add '-16' to each side of the equation. 16 + -16 + 6v = -8 + -16 Combine like terms: 16 + -16 = 0 0 + 6v = -8 + -16 6v = -8 + -16 Combine like terms: -8 + -16 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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