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Simplifying 3v + -40 = -2(5 + -4v) Reorder the terms: -40 + 3v = -2(5 + -4v) -40 + 3v = (5 * -2 + -4v * -2) -40 + 3v = (-10 + 8v) Solving -40 + 3v = -10 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -40 + 3v + -8v = -10 + 8v + -8v Combine like terms: 3v + -8v = -5v -40 + -5v = -10 + 8v + -8v Combine like terms: 8v + -8v = 0 -40 + -5v = -10 + 0 -40 + -5v = -10 Add '40' to each side of the equation. -40 + 40 + -5v = -10 + 40 Combine like terms: -40 + 40 = 0 0 + -5v = -10 + 40 -5v = -10 + 40 Combine like terms: -10 + 40 = 30 -5v = 30 Divide each side by '-5'. v = -6 Simplifying v = -6
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