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Simplifying 6v + -7 + 3(3v + 1) = -3(v + 2) Reorder the terms: 6v + -7 + 3(1 + 3v) = -3(v + 2) 6v + -7 + (1 * 3 + 3v * 3) = -3(v + 2) 6v + -7 + (3 + 9v) = -3(v + 2) Reorder the terms: -7 + 3 + 6v + 9v = -3(v + 2) Combine like terms: -7 + 3 = -4 -4 + 6v + 9v = -3(v + 2) Combine like terms: 6v + 9v = 15v -4 + 15v = -3(v + 2) Reorder the terms: -4 + 15v = -3(2 + v) -4 + 15v = (2 * -3 + v * -3) -4 + 15v = (-6 + -3v) Solving -4 + 15v = -6 + -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. -4 + 15v + 3v = -6 + -3v + 3v Combine like terms: 15v + 3v = 18v -4 + 18v = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 -4 + 18v = -6 + 0 -4 + 18v = -6 Add '4' to each side of the equation. -4 + 4 + 18v = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 18v = -6 + 4 18v = -6 + 4 Combine like terms: -6 + 4 = -2 18v = -2 Divide each side by '18'. v = -0.1111111111 Simplifying v = -0.1111111111
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