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Simplifying -4(-6v + 6) + -8v = 4(v + -3) + -9 Reorder the terms: -4(6 + -6v) + -8v = 4(v + -3) + -9 (6 * -4 + -6v * -4) + -8v = 4(v + -3) + -9 (-24 + 24v) + -8v = 4(v + -3) + -9 Combine like terms: 24v + -8v = 16v -24 + 16v = 4(v + -3) + -9 Reorder the terms: -24 + 16v = 4(-3 + v) + -9 -24 + 16v = (-3 * 4 + v * 4) + -9 -24 + 16v = (-12 + 4v) + -9 Reorder the terms: -24 + 16v = -12 + -9 + 4v Combine like terms: -12 + -9 = -21 -24 + 16v = -21 + 4v Solving -24 + 16v = -21 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -24 + 16v + -4v = -21 + 4v + -4v Combine like terms: 16v + -4v = 12v -24 + 12v = -21 + 4v + -4v Combine like terms: 4v + -4v = 0 -24 + 12v = -21 + 0 -24 + 12v = -21 Add '24' to each side of the equation. -24 + 24 + 12v = -21 + 24 Combine like terms: -24 + 24 = 0 0 + 12v = -21 + 24 12v = -21 + 24 Combine like terms: -21 + 24 = 3 12v = 3 Divide each side by '12'. v = 0.25 Simplifying v = 0.25
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