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Simplifying -5(5v + -5) = -50 + -10v Reorder the terms: -5(-5 + 5v) = -50 + -10v (-5 * -5 + 5v * -5) = -50 + -10v (25 + -25v) = -50 + -10v Solving 25 + -25v = -50 + -10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '10v' to each side of the equation. 25 + -25v + 10v = -50 + -10v + 10v Combine like terms: -25v + 10v = -15v 25 + -15v = -50 + -10v + 10v Combine like terms: -10v + 10v = 0 25 + -15v = -50 + 0 25 + -15v = -50 Add '-25' to each side of the equation. 25 + -25 + -15v = -50 + -25 Combine like terms: 25 + -25 = 0 0 + -15v = -50 + -25 -15v = -50 + -25 Combine like terms: -50 + -25 = -75 -15v = -75 Divide each side by '-15'. v = 5 Simplifying v = 5
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