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Simplifying 2(v + -4) + -4 = -7(-3v + 1) + -4v Reorder the terms: 2(-4 + v) + -4 = -7(-3v + 1) + -4v (-4 * 2 + v * 2) + -4 = -7(-3v + 1) + -4v (-8 + 2v) + -4 = -7(-3v + 1) + -4v Reorder the terms: -8 + -4 + 2v = -7(-3v + 1) + -4v Combine like terms: -8 + -4 = -12 -12 + 2v = -7(-3v + 1) + -4v Reorder the terms: -12 + 2v = -7(1 + -3v) + -4v -12 + 2v = (1 * -7 + -3v * -7) + -4v -12 + 2v = (-7 + 21v) + -4v Combine like terms: 21v + -4v = 17v -12 + 2v = -7 + 17v Solving -12 + 2v = -7 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -12 + 2v + -17v = -7 + 17v + -17v Combine like terms: 2v + -17v = -15v -12 + -15v = -7 + 17v + -17v Combine like terms: 17v + -17v = 0 -12 + -15v = -7 + 0 -12 + -15v = -7 Add '12' to each side of the equation. -12 + 12 + -15v = -7 + 12 Combine like terms: -12 + 12 = 0 0 + -15v = -7 + 12 -15v = -7 + 12 Combine like terms: -7 + 12 = 5 -15v = 5 Divide each side by '-15'. v = -0.3333333333 Simplifying v = -0.3333333333
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