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Simplifying 2(4v + 4) = 4(3v + -3) Reorder the terms: 2(4 + 4v) = 4(3v + -3) (4 * 2 + 4v * 2) = 4(3v + -3) (8 + 8v) = 4(3v + -3) Reorder the terms: 8 + 8v = 4(-3 + 3v) 8 + 8v = (-3 * 4 + 3v * 4) 8 + 8v = (-12 + 12v) Solving 8 + 8v = -12 + 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. 8 + 8v + -12v = -12 + 12v + -12v Combine like terms: 8v + -12v = -4v 8 + -4v = -12 + 12v + -12v Combine like terms: 12v + -12v = 0 8 + -4v = -12 + 0 8 + -4v = -12 Add '-8' to each side of the equation. 8 + -8 + -4v = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4v = -12 + -8 -4v = -12 + -8 Combine like terms: -12 + -8 = -20 -4v = -20 Divide each side by '-4'. v = 5 Simplifying v = 5
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