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Simplifying -5(v + 5) = 3v + 7 Reorder the terms: -5(5 + v) = 3v + 7 (5 * -5 + v * -5) = 3v + 7 (-25 + -5v) = 3v + 7 Reorder the terms: -25 + -5v = 7 + 3v Solving -25 + -5v = 7 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -25 + -5v + -3v = 7 + 3v + -3v Combine like terms: -5v + -3v = -8v -25 + -8v = 7 + 3v + -3v Combine like terms: 3v + -3v = 0 -25 + -8v = 7 + 0 -25 + -8v = 7 Add '25' to each side of the equation. -25 + 25 + -8v = 7 + 25 Combine like terms: -25 + 25 = 0 0 + -8v = 7 + 25 -8v = 7 + 25 Combine like terms: 7 + 25 = 32 -8v = 32 Divide each side by '-8'. v = -4 Simplifying v = -4
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