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Simplifying -1 + 4v = 8 + -3(3 + -4v) -1 + 4v = 8 + (3 * -3 + -4v * -3) -1 + 4v = 8 + (-9 + 12v) Combine like terms: 8 + -9 = -1 -1 + 4v = -1 + 12v Add '1' to each side of the equation. -1 + 1 + 4v = -1 + 1 + 12v Combine like terms: -1 + 1 = 0 0 + 4v = -1 + 1 + 12v 4v = -1 + 1 + 12v Combine like terms: -1 + 1 = 0 4v = 0 + 12v 4v = 12v Solving 4v = 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. 4v + -12v = 12v + -12v Combine like terms: 4v + -12v = -8v -8v = 12v + -12v Combine like terms: 12v + -12v = 0 -8v = 0 Divide each side by '-8'. v = 0 Simplifying v = 0
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