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Simplifying -4(-3v + 3) + -4v = 2(v + -1) + -1 Reorder the terms: -4(3 + -3v) + -4v = 2(v + -1) + -1 (3 * -4 + -3v * -4) + -4v = 2(v + -1) + -1 (-12 + 12v) + -4v = 2(v + -1) + -1 Combine like terms: 12v + -4v = 8v -12 + 8v = 2(v + -1) + -1 Reorder the terms: -12 + 8v = 2(-1 + v) + -1 -12 + 8v = (-1 * 2 + v * 2) + -1 -12 + 8v = (-2 + 2v) + -1 Reorder the terms: -12 + 8v = -2 + -1 + 2v Combine like terms: -2 + -1 = -3 -12 + 8v = -3 + 2v Solving -12 + 8v = -3 + 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. -12 + 8v + -2v = -3 + 2v + -2v Combine like terms: 8v + -2v = 6v -12 + 6v = -3 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + 6v = -3 + 0 -12 + 6v = -3 Add '12' to each side of the equation. -12 + 12 + 6v = -3 + 12 Combine like terms: -12 + 12 = 0 0 + 6v = -3 + 12 6v = -3 + 12 Combine like terms: -3 + 12 = 9 6v = 9 Divide each side by '6'. v = 1.5 Simplifying v = 1.5
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