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Simplifying 8(v + 5) = -8v + 8 Reorder the terms: 8(5 + v) = -8v + 8 (5 * 8 + v * 8) = -8v + 8 (40 + 8v) = -8v + 8 Reorder the terms: 40 + 8v = 8 + -8v Solving 40 + 8v = 8 + -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. 40 + 8v + 8v = 8 + -8v + 8v Combine like terms: 8v + 8v = 16v 40 + 16v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 40 + 16v = 8 + 0 40 + 16v = 8 Add '-40' to each side of the equation. 40 + -40 + 16v = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 16v = 8 + -40 16v = 8 + -40 Combine like terms: 8 + -40 = -32 16v = -32 Divide each side by '16'. v = -2 Simplifying v = -2
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