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Simplifying 40 + -9v = -3(4v + -4) Reorder the terms: 40 + -9v = -3(-4 + 4v) 40 + -9v = (-4 * -3 + 4v * -3) 40 + -9v = (12 + -12v) Solving 40 + -9v = 12 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. 40 + -9v + 12v = 12 + -12v + 12v Combine like terms: -9v + 12v = 3v 40 + 3v = 12 + -12v + 12v Combine like terms: -12v + 12v = 0 40 + 3v = 12 + 0 40 + 3v = 12 Add '-40' to each side of the equation. 40 + -40 + 3v = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 3v = 12 + -40 3v = 12 + -40 Combine like terms: 12 + -40 = -28 3v = -28 Divide each side by '3'. v = -9.333333333 Simplifying v = -9.333333333
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