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Simplifying 3(v + -6) + -4 = -3(-6v + 4) + -3v Reorder the terms: 3(-6 + v) + -4 = -3(-6v + 4) + -3v (-6 * 3 + v * 3) + -4 = -3(-6v + 4) + -3v (-18 + 3v) + -4 = -3(-6v + 4) + -3v Reorder the terms: -18 + -4 + 3v = -3(-6v + 4) + -3v Combine like terms: -18 + -4 = -22 -22 + 3v = -3(-6v + 4) + -3v Reorder the terms: -22 + 3v = -3(4 + -6v) + -3v -22 + 3v = (4 * -3 + -6v * -3) + -3v -22 + 3v = (-12 + 18v) + -3v Combine like terms: 18v + -3v = 15v -22 + 3v = -12 + 15v Solving -22 + 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. -22 + 3v + -15v = -12 + 15v + -15v Combine like terms: 3v + -15v = -12v -22 + -12v = -12 + 15v + -15v Combine like terms: 15v + -15v = 0 -22 + -12v = -12 + 0 -22 + -12v = -12 Add '22' to each side of the equation. -22 + 22 + -12v = -12 + 22 Combine like terms: -22 + 22 = 0 0 + -12v = -12 + 22 -12v = -12 + 22 Combine like terms: -12 + 22 = 10 -12v = 10 Divide each side by '-12'. v = -0.8333333333 Simplifying v = -0.8333333333
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