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Simplifying 8v + 32 = -2(8 + 4v) Reorder the terms: 32 + 8v = -2(8 + 4v) 32 + 8v = (8 * -2 + 4v * -2) 32 + 8v = (-16 + -8v) Solving 32 + 8v = -16 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 32 + 8v + 8v = -16 + -8v + 8v Combine like terms: 8v + 8v = 16v 32 + 16v = -16 + -8v + 8v Combine like terms: -8v + 8v = 0 32 + 16v = -16 + 0 32 + 16v = -16 Add '-32' to each side of the equation. 32 + -32 + 16v = -16 + -32 Combine like terms: 32 + -32 = 0 0 + 16v = -16 + -32 16v = -16 + -32 Combine like terms: -16 + -32 = -48 16v = -48 Divide each side by '16'. v = -3 Simplifying v = -3
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