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Simplifying 8(v + 2) = -8v + 32 Reorder the terms: 8(2 + v) = -8v + 32 (2 * 8 + v * 8) = -8v + 32 (16 + 8v) = -8v + 32 Reorder the terms: 16 + 8v = 32 + -8v Solving 16 + 8v = 32 + -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. 16 + 8v + 8v = 32 + -8v + 8v Combine like terms: 8v + 8v = 16v 16 + 16v = 32 + -8v + 8v Combine like terms: -8v + 8v = 0 16 + 16v = 32 + 0 16 + 16v = 32 Add '-16' to each side of the equation. 16 + -16 + 16v = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 16v = 32 + -16 16v = 32 + -16 Combine like terms: 32 + -16 = 16 16v = 16 Divide each side by '16'. v = 1 Simplifying v = 1
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