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Simplifying 5(-8v + -2) = 35 + 5v Reorder the terms: 5(-2 + -8v) = 35 + 5v (-2 * 5 + -8v * 5) = 35 + 5v (-10 + -40v) = 35 + 5v Solving -10 + -40v = 35 + 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. -10 + -40v + -5v = 35 + 5v + -5v Combine like terms: -40v + -5v = -45v -10 + -45v = 35 + 5v + -5v Combine like terms: 5v + -5v = 0 -10 + -45v = 35 + 0 -10 + -45v = 35 Add '10' to each side of the equation. -10 + 10 + -45v = 35 + 10 Combine like terms: -10 + 10 = 0 0 + -45v = 35 + 10 -45v = 35 + 10 Combine like terms: 35 + 10 = 45 -45v = 45 Divide each side by '-45'. v = -1 Simplifying v = -1
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