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Simplifying -8(v + 8) = 4v + 32 Reorder the terms: -8(8 + v) = 4v + 32 (8 * -8 + v * -8) = 4v + 32 (-64 + -8v) = 4v + 32 Reorder the terms: -64 + -8v = 32 + 4v Solving -64 + -8v = 32 + 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. -64 + -8v + -4v = 32 + 4v + -4v Combine like terms: -8v + -4v = -12v -64 + -12v = 32 + 4v + -4v Combine like terms: 4v + -4v = 0 -64 + -12v = 32 + 0 -64 + -12v = 32 Add '64' to each side of the equation. -64 + 64 + -12v = 32 + 64 Combine like terms: -64 + 64 = 0 0 + -12v = 32 + 64 -12v = 32 + 64 Combine like terms: 32 + 64 = 96 -12v = 96 Divide each side by '-12'. v = -8 Simplifying v = -8
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