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Simplifying 9 + 2(3v + -6) = -2(9v + -3) + 9v Reorder the terms: 9 + 2(-6 + 3v) = -2(9v + -3) + 9v 9 + (-6 * 2 + 3v * 2) = -2(9v + -3) + 9v 9 + (-12 + 6v) = -2(9v + -3) + 9v Combine like terms: 9 + -12 = -3 -3 + 6v = -2(9v + -3) + 9v Reorder the terms: -3 + 6v = -2(-3 + 9v) + 9v -3 + 6v = (-3 * -2 + 9v * -2) + 9v -3 + 6v = (6 + -18v) + 9v Combine like terms: -18v + 9v = -9v -3 + 6v = 6 + -9v Solving -3 + 6v = 6 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. -3 + 6v + 9v = 6 + -9v + 9v Combine like terms: 6v + 9v = 15v -3 + 15v = 6 + -9v + 9v Combine like terms: -9v + 9v = 0 -3 + 15v = 6 + 0 -3 + 15v = 6 Add '3' to each side of the equation. -3 + 3 + 15v = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 15v = 6 + 3 15v = 6 + 3 Combine like terms: 6 + 3 = 9 15v = 9 Divide each side by '15'. v = 0.6 Simplifying v = 0.6
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