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Simplifying -5(5v + 5) + 8 = v + 35 Reorder the terms: -5(5 + 5v) + 8 = v + 35 (5 * -5 + 5v * -5) + 8 = v + 35 (-25 + -25v) + 8 = v + 35 Reorder the terms: -25 + 8 + -25v = v + 35 Combine like terms: -25 + 8 = -17 -17 + -25v = v + 35 Reorder the terms: -17 + -25v = 35 + v Solving -17 + -25v = 35 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -17 + -25v + -1v = 35 + v + -1v Combine like terms: -25v + -1v = -26v -17 + -26v = 35 + v + -1v Combine like terms: v + -1v = 0 -17 + -26v = 35 + 0 -17 + -26v = 35 Add '17' to each side of the equation. -17 + 17 + -26v = 35 + 17 Combine like terms: -17 + 17 = 0 0 + -26v = 35 + 17 -26v = 35 + 17 Combine like terms: 35 + 17 = 52 -26v = 52 Divide each side by '-26'. v = -2 Simplifying v = -2
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