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Simplifying 8(v + -8) = 4(3v + -12) + -4 Reorder the terms: 8(-8 + v) = 4(3v + -12) + -4 (-8 * 8 + v * 8) = 4(3v + -12) + -4 (-64 + 8v) = 4(3v + -12) + -4 Reorder the terms: -64 + 8v = 4(-12 + 3v) + -4 -64 + 8v = (-12 * 4 + 3v * 4) + -4 -64 + 8v = (-48 + 12v) + -4 Reorder the terms: -64 + 8v = -48 + -4 + 12v Combine like terms: -48 + -4 = -52 -64 + 8v = -52 + 12v Solving -64 + 8v = -52 + 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. -64 + 8v + -12v = -52 + 12v + -12v Combine like terms: 8v + -12v = -4v -64 + -4v = -52 + 12v + -12v Combine like terms: 12v + -12v = 0 -64 + -4v = -52 + 0 -64 + -4v = -52 Add '64' to each side of the equation. -64 + 64 + -4v = -52 + 64 Combine like terms: -64 + 64 = 0 0 + -4v = -52 + 64 -4v = -52 + 64 Combine like terms: -52 + 64 = 12 -4v = 12 Divide each side by '-4'. v = -3 Simplifying v = -3
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