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Simplifying -5 + -3(1 + -2v) = -4(-2v + 6) -5 + (1 * -3 + -2v * -3) = -4(-2v + 6) -5 + (-3 + 6v) = -4(-2v + 6) Combine like terms: -5 + -3 = -8 -8 + 6v = -4(-2v + 6) Reorder the terms: -8 + 6v = -4(6 + -2v) -8 + 6v = (6 * -4 + -2v * -4) -8 + 6v = (-24 + 8v) Solving -8 + 6v = -24 + 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. -8 + 6v + -8v = -24 + 8v + -8v Combine like terms: 6v + -8v = -2v -8 + -2v = -24 + 8v + -8v Combine like terms: 8v + -8v = 0 -8 + -2v = -24 + 0 -8 + -2v = -24 Add '8' to each side of the equation. -8 + 8 + -2v = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -2v = -24 + 8 -2v = -24 + 8 Combine like terms: -24 + 8 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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