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Simplifying -4(-4v + 1) + -2v = 2(v + -3) + -7 Reorder the terms: -4(1 + -4v) + -2v = 2(v + -3) + -7 (1 * -4 + -4v * -4) + -2v = 2(v + -3) + -7 (-4 + 16v) + -2v = 2(v + -3) + -7 Combine like terms: 16v + -2v = 14v -4 + 14v = 2(v + -3) + -7 Reorder the terms: -4 + 14v = 2(-3 + v) + -7 -4 + 14v = (-3 * 2 + v * 2) + -7 -4 + 14v = (-6 + 2v) + -7 Reorder the terms: -4 + 14v = -6 + -7 + 2v Combine like terms: -6 + -7 = -13 -4 + 14v = -13 + 2v Solving -4 + 14v = -13 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -4 + 14v + -2v = -13 + 2v + -2v Combine like terms: 14v + -2v = 12v -4 + 12v = -13 + 2v + -2v Combine like terms: 2v + -2v = 0 -4 + 12v = -13 + 0 -4 + 12v = -13 Add '4' to each side of the equation. -4 + 4 + 12v = -13 + 4 Combine like terms: -4 + 4 = 0 0 + 12v = -13 + 4 12v = -13 + 4 Combine like terms: -13 + 4 = -9 12v = -9 Divide each side by '12'. v = -0.75 Simplifying v = -0.75
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