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Simplifying -9(v + 3) = -5v + -7 Reorder the terms: -9(3 + v) = -5v + -7 (3 * -9 + v * -9) = -5v + -7 (-27 + -9v) = -5v + -7 Reorder the terms: -27 + -9v = -7 + -5v Solving -27 + -9v = -7 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -27 + -9v + 5v = -7 + -5v + 5v Combine like terms: -9v + 5v = -4v -27 + -4v = -7 + -5v + 5v Combine like terms: -5v + 5v = 0 -27 + -4v = -7 + 0 -27 + -4v = -7 Add '27' to each side of the equation. -27 + 27 + -4v = -7 + 27 Combine like terms: -27 + 27 = 0 0 + -4v = -7 + 27 -4v = -7 + 27 Combine like terms: -7 + 27 = 20 -4v = 20 Divide each side by '-4'. v = -5 Simplifying v = -5
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