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Simplifying -8v + 40 = -5(v + -5) Reorder the terms: 40 + -8v = -5(v + -5) Reorder the terms: 40 + -8v = -5(-5 + v) 40 + -8v = (-5 * -5 + v * -5) 40 + -8v = (25 + -5v) Solving 40 + -8v = 25 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 40 + -8v + 5v = 25 + -5v + 5v Combine like terms: -8v + 5v = -3v 40 + -3v = 25 + -5v + 5v Combine like terms: -5v + 5v = 0 40 + -3v = 25 + 0 40 + -3v = 25 Add '-40' to each side of the equation. 40 + -40 + -3v = 25 + -40 Combine like terms: 40 + -40 = 0 0 + -3v = 25 + -40 -3v = 25 + -40 Combine like terms: 25 + -40 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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