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Simplifying -3(v + 5) = -4(v + 5) Reorder the terms: -3(5 + v) = -4(v + 5) (5 * -3 + v * -3) = -4(v + 5) (-15 + -3v) = -4(v + 5) Reorder the terms: -15 + -3v = -4(5 + v) -15 + -3v = (5 * -4 + v * -4) -15 + -3v = (-20 + -4v) Solving -15 + -3v = -20 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. -15 + -3v + 4v = -20 + -4v + 4v Combine like terms: -3v + 4v = 1v -15 + 1v = -20 + -4v + 4v Combine like terms: -4v + 4v = 0 -15 + 1v = -20 + 0 -15 + 1v = -20 Add '15' to each side of the equation. -15 + 15 + 1v = -20 + 15 Combine like terms: -15 + 15 = 0 0 + 1v = -20 + 15 1v = -20 + 15 Combine like terms: -20 + 15 = -5 1v = -5 Divide each side by '1'. v = -5 Simplifying v = -5
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