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Simplifying 40 + 5v = -4(v + 8) Reorder the terms: 40 + 5v = -4(8 + v) 40 + 5v = (8 * -4 + v * -4) 40 + 5v = (-32 + -4v) Solving 40 + 5v = -32 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 40 + 5v + 4v = -32 + -4v + 4v Combine like terms: 5v + 4v = 9v 40 + 9v = -32 + -4v + 4v Combine like terms: -4v + 4v = 0 40 + 9v = -32 + 0 40 + 9v = -32 Add '-40' to each side of the equation. 40 + -40 + 9v = -32 + -40 Combine like terms: 40 + -40 = 0 0 + 9v = -32 + -40 9v = -32 + -40 Combine like terms: -32 + -40 = -72 9v = -72 Divide each side by '9'. v = -8 Simplifying v = -8
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