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Simplifying 32 = 8(v + -85) Reorder the terms: 32 = 8(-85 + v) 32 = (-85 * 8 + v * 8) 32 = (-680 + 8v) Solving 32 = -680 + 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 = -680 + 8v + -8v Combine like terms: 8v + -8v = 0 32 + -8v = -680 + 0 32 + -8v = -680 Add '-32' to each side of the equation. 32 + -32 + -8v = -680 + -32 Combine like terms: 32 + -32 = 0 0 + -8v = -680 + -32 -8v = -680 + -32 Combine like terms: -680 + -32 = -712 -8v = -712 Divide each side by '-8'. v = 89 Simplifying v = 89
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