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Simplifying 2 + -5(5v + -8) = 24 + -45v Reorder the terms: 2 + -5(-8 + 5v) = 24 + -45v 2 + (-8 * -5 + 5v * -5) = 24 + -45v 2 + (40 + -25v) = 24 + -45v Combine like terms: 2 + 40 = 42 42 + -25v = 24 + -45v Solving 42 + -25v = 24 + -45v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '45v' to each side of the equation. 42 + -25v + 45v = 24 + -45v + 45v Combine like terms: -25v + 45v = 20v 42 + 20v = 24 + -45v + 45v Combine like terms: -45v + 45v = 0 42 + 20v = 24 + 0 42 + 20v = 24 Add '-42' to each side of the equation. 42 + -42 + 20v = 24 + -42 Combine like terms: 42 + -42 = 0 0 + 20v = 24 + -42 20v = 24 + -42 Combine like terms: 24 + -42 = -18 20v = -18 Divide each side by '20'. v = -0.9 Simplifying v = -0.9
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