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Simplifying 3(v + -1) = -4 + 4(3 + -2v) Reorder the terms: 3(-1 + v) = -4 + 4(3 + -2v) (-1 * 3 + v * 3) = -4 + 4(3 + -2v) (-3 + 3v) = -4 + 4(3 + -2v) -3 + 3v = -4 + (3 * 4 + -2v * 4) -3 + 3v = -4 + (12 + -8v) Combine like terms: -4 + 12 = 8 -3 + 3v = 8 + -8v Solving -3 + 3v = 8 + -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 + 3v + 8v = 8 + -8v + 8v Combine like terms: 3v + 8v = 11v -3 + 11v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 -3 + 11v = 8 + 0 -3 + 11v = 8 Add '3' to each side of the equation. -3 + 3 + 11v = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 11v = 8 + 3 11v = 8 + 3 Combine like terms: 8 + 3 = 11 11v = 11 Divide each side by '11'. v = 1 Simplifying v = 1
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