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Simplifying 5(8 + 3v) = -40 + -5v (8 * 5 + 3v * 5) = -40 + -5v (40 + 15v) = -40 + -5v Solving 40 + 15v = -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 + 15v + 5v = -40 + -5v + 5v Combine like terms: 15v + 5v = 20v 40 + 20v = -40 + -5v + 5v Combine like terms: -5v + 5v = 0 40 + 20v = -40 + 0 40 + 20v = -40 Add '-40' to each side of the equation. 40 + -40 + 20v = -40 + -40 Combine like terms: 40 + -40 = 0 0 + 20v = -40 + -40 20v = -40 + -40 Combine like terms: -40 + -40 = -80 20v = -80 Divide each side by '20'. v = -4 Simplifying v = -4
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