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Simplifying 8(v + 1) = -8v + -40 Reorder the terms: 8(1 + v) = -8v + -40 (1 * 8 + v * 8) = -8v + -40 (8 + 8v) = -8v + -40 Reorder the terms: 8 + 8v = -40 + -8v Solving 8 + 8v = -40 + -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. 8 + 8v + 8v = -40 + -8v + 8v Combine like terms: 8v + 8v = 16v 8 + 16v = -40 + -8v + 8v Combine like terms: -8v + 8v = 0 8 + 16v = -40 + 0 8 + 16v = -40 Add '-8' to each side of the equation. 8 + -8 + 16v = -40 + -8 Combine like terms: 8 + -8 = 0 0 + 16v = -40 + -8 16v = -40 + -8 Combine like terms: -40 + -8 = -48 16v = -48 Divide each side by '16'. v = -3 Simplifying v = -3
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