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Simplifying 3(v + -4) + -6 = -6(-4v + 2) + -9v Reorder the terms: 3(-4 + v) + -6 = -6(-4v + 2) + -9v (-4 * 3 + v * 3) + -6 = -6(-4v + 2) + -9v (-12 + 3v) + -6 = -6(-4v + 2) + -9v Reorder the terms: -12 + -6 + 3v = -6(-4v + 2) + -9v Combine like terms: -12 + -6 = -18 -18 + 3v = -6(-4v + 2) + -9v Reorder the terms: -18 + 3v = -6(2 + -4v) + -9v -18 + 3v = (2 * -6 + -4v * -6) + -9v -18 + 3v = (-12 + 24v) + -9v Combine like terms: 24v + -9v = 15v -18 + 3v = -12 + 15v Solving -18 + 3v = -12 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -18 + 3v + -15v = -12 + 15v + -15v Combine like terms: 3v + -15v = -12v -18 + -12v = -12 + 15v + -15v Combine like terms: 15v + -15v = 0 -18 + -12v = -12 + 0 -18 + -12v = -12 Add '18' to each side of the equation. -18 + 18 + -12v = -12 + 18 Combine like terms: -18 + 18 = 0 0 + -12v = -12 + 18 -12v = -12 + 18 Combine like terms: -12 + 18 = 6 -12v = 6 Divide each side by '-12'. v = -0.5 Simplifying v = -0.5
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