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Simplifying -5 + (-5 + 7v) = 25 + 8v Remove parenthesis around (-5 + 7v) -5 + -5 + 7v = 25 + 8v Combine like terms: -5 + -5 = -10 -10 + 7v = 25 + 8v Solving -10 + 7v = 25 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -10 + 7v + -8v = 25 + 8v + -8v Combine like terms: 7v + -8v = -1v -10 + -1v = 25 + 8v + -8v Combine like terms: 8v + -8v = 0 -10 + -1v = 25 + 0 -10 + -1v = 25 Add '10' to each side of the equation. -10 + 10 + -1v = 25 + 10 Combine like terms: -10 + 10 = 0 0 + -1v = 25 + 10 -1v = 25 + 10 Combine like terms: 25 + 10 = 35 -1v = 35 Divide each side by '-1'. v = -35 Simplifying v = -35
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