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Simplifying -4(4v + -1) + v = -3(v + 4) Reorder the terms: -4(-1 + 4v) + v = -3(v + 4) (-1 * -4 + 4v * -4) + v = -3(v + 4) (4 + -16v) + v = -3(v + 4) Combine like terms: -16v + v = -15v 4 + -15v = -3(v + 4) Reorder the terms: 4 + -15v = -3(4 + v) 4 + -15v = (4 * -3 + v * -3) 4 + -15v = (-12 + -3v) Solving 4 + -15v = -12 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 4 + -15v + 3v = -12 + -3v + 3v Combine like terms: -15v + 3v = -12v 4 + -12v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 4 + -12v = -12 + 0 4 + -12v = -12 Add '-4' to each side of the equation. 4 + -4 + -12v = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -12v = -12 + -4 -12v = -12 + -4 Combine like terms: -12 + -4 = -16 -12v = -16 Divide each side by '-12'. v = 1.333333333 Simplifying v = 1.333333333
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