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Simplifying -4(-6v + 3) + -2v = 4(v + -4) + -5 Reorder the terms: -4(3 + -6v) + -2v = 4(v + -4) + -5 (3 * -4 + -6v * -4) + -2v = 4(v + -4) + -5 (-12 + 24v) + -2v = 4(v + -4) + -5 Combine like terms: 24v + -2v = 22v -12 + 22v = 4(v + -4) + -5 Reorder the terms: -12 + 22v = 4(-4 + v) + -5 -12 + 22v = (-4 * 4 + v * 4) + -5 -12 + 22v = (-16 + 4v) + -5 Reorder the terms: -12 + 22v = -16 + -5 + 4v Combine like terms: -16 + -5 = -21 -12 + 22v = -21 + 4v Solving -12 + 22v = -21 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -12 + 22v + -4v = -21 + 4v + -4v Combine like terms: 22v + -4v = 18v -12 + 18v = -21 + 4v + -4v Combine like terms: 4v + -4v = 0 -12 + 18v = -21 + 0 -12 + 18v = -21 Add '12' to each side of the equation. -12 + 12 + 18v = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 18v = -21 + 12 18v = -21 + 12 Combine like terms: -21 + 12 = -9 18v = -9 Divide each side by '18'. v = -0.5 Simplifying v = -0.5
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