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Simplifying v + -5(2v + 4) = -3(v + 5) Reorder the terms: v + -5(4 + 2v) = -3(v + 5) v + (4 * -5 + 2v * -5) = -3(v + 5) v + (-20 + -10v) = -3(v + 5) Reorder the terms: -20 + v + -10v = -3(v + 5) Combine like terms: v + -10v = -9v -20 + -9v = -3(v + 5) Reorder the terms: -20 + -9v = -3(5 + v) -20 + -9v = (5 * -3 + v * -3) -20 + -9v = (-15 + -3v) Solving -20 + -9v = -15 + -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. -20 + -9v + 3v = -15 + -3v + 3v Combine like terms: -9v + 3v = -6v -20 + -6v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 -20 + -6v = -15 + 0 -20 + -6v = -15 Add '20' to each side of the equation. -20 + 20 + -6v = -15 + 20 Combine like terms: -20 + 20 = 0 0 + -6v = -15 + 20 -6v = -15 + 20 Combine like terms: -15 + 20 = 5 -6v = 5 Divide each side by '-6'. v = -0.8333333333 Simplifying v = -0.8333333333
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