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Simplifying -9(v + 5) = -3v + -3 Reorder the terms: -9(5 + v) = -3v + -3 (5 * -9 + v * -9) = -3v + -3 (-45 + -9v) = -3v + -3 Reorder the terms: -45 + -9v = -3 + -3v Solving -45 + -9v = -3 + -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. -45 + -9v + 3v = -3 + -3v + 3v Combine like terms: -9v + 3v = -6v -45 + -6v = -3 + -3v + 3v Combine like terms: -3v + 3v = 0 -45 + -6v = -3 + 0 -45 + -6v = -3 Add '45' to each side of the equation. -45 + 45 + -6v = -3 + 45 Combine like terms: -45 + 45 = 0 0 + -6v = -3 + 45 -6v = -3 + 45 Combine like terms: -3 + 45 = 42 -6v = 42 Divide each side by '-6'. v = -7 Simplifying v = -7
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