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Simplifying 40 + 5v = -4(v + -1) Reorder the terms: 40 + 5v = -4(-1 + v) 40 + 5v = (-1 * -4 + v * -4) 40 + 5v = (4 + -4v) Solving 40 + 5v = 4 + -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 = 4 + -4v + 4v Combine like terms: 5v + 4v = 9v 40 + 9v = 4 + -4v + 4v Combine like terms: -4v + 4v = 0 40 + 9v = 4 + 0 40 + 9v = 4 Add '-40' to each side of the equation. 40 + -40 + 9v = 4 + -40 Combine like terms: 40 + -40 = 0 0 + 9v = 4 + -40 9v = 4 + -40 Combine like terms: 4 + -40 = -36 9v = -36 Divide each side by '9'. v = -4 Simplifying v = -4
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