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Simplifying 3v + -40 = -5(v + -8) Reorder the terms: -40 + 3v = -5(v + -8) Reorder the terms: -40 + 3v = -5(-8 + v) -40 + 3v = (-8 * -5 + v * -5) -40 + 3v = (40 + -5v) Solving -40 + 3v = 40 + -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 + 3v + 5v = 40 + -5v + 5v Combine like terms: 3v + 5v = 8v -40 + 8v = 40 + -5v + 5v Combine like terms: -5v + 5v = 0 -40 + 8v = 40 + 0 -40 + 8v = 40 Add '40' to each side of the equation. -40 + 40 + 8v = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 8v = 40 + 40 8v = 40 + 40 Combine like terms: 40 + 40 = 80 8v = 80 Divide each side by '8'. v = 10 Simplifying v = 10
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