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Simplifying 8v + 32 = -8(v + -2) Reorder the terms: 32 + 8v = -8(v + -2) Reorder the terms: 32 + 8v = -8(-2 + v) 32 + 8v = (-2 * -8 + v * -8) 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 = -16 16v = -16 Divide each side by '16'. v = -1 Simplifying v = -1
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