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Simplifying 2v + -5 + 2(5v + 1) = -3(v + 3) Reorder the terms: 2v + -5 + 2(1 + 5v) = -3(v + 3) 2v + -5 + (1 * 2 + 5v * 2) = -3(v + 3) 2v + -5 + (2 + 10v) = -3(v + 3) Reorder the terms: -5 + 2 + 2v + 10v = -3(v + 3) Combine like terms: -5 + 2 = -3 -3 + 2v + 10v = -3(v + 3) Combine like terms: 2v + 10v = 12v -3 + 12v = -3(v + 3) Reorder the terms: -3 + 12v = -3(3 + v) -3 + 12v = (3 * -3 + v * -3) -3 + 12v = (-9 + -3v) Solving -3 + 12v = -9 + -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. -3 + 12v + 3v = -9 + -3v + 3v Combine like terms: 12v + 3v = 15v -3 + 15v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 -3 + 15v = -9 + 0 -3 + 15v = -9 Add '3' to each side of the equation. -3 + 3 + 15v = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 15v = -9 + 3 15v = -9 + 3 Combine like terms: -9 + 3 = -6 15v = -6 Divide each side by '15'. v = -0.4 Simplifying v = -0.4
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