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Simplifying 4v + 8(v + -2) = 32 Reorder the terms: 4v + 8(-2 + v) = 32 4v + (-2 * 8 + v * 8) = 32 4v + (-16 + 8v) = 32 Reorder the terms: -16 + 4v + 8v = 32 Combine like terms: 4v + 8v = 12v -16 + 12v = 32 Solving -16 + 12v = 32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 12v = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 12v = 32 + 16 12v = 32 + 16 Combine like terms: 32 + 16 = 48 12v = 48 Divide each side by '12'. v = 4 Simplifying v = 4
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