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Simplifying v + 2 + v = -4(1 + 3v) + -1(-6 + -5v) Reorder the terms: 2 + v + v = -4(1 + 3v) + -1(-6 + -5v) Combine like terms: v + v = 2v 2 + 2v = -4(1 + 3v) + -1(-6 + -5v) 2 + 2v = (1 * -4 + 3v * -4) + -1(-6 + -5v) 2 + 2v = (-4 + -12v) + -1(-6 + -5v) 2 + 2v = -4 + -12v + (-6 * -1 + -5v * -1) 2 + 2v = -4 + -12v + (6 + 5v) Reorder the terms: 2 + 2v = -4 + 6 + -12v + 5v Combine like terms: -4 + 6 = 2 2 + 2v = 2 + -12v + 5v Combine like terms: -12v + 5v = -7v 2 + 2v = 2 + -7v Add '-2' to each side of the equation. 2 + -2 + 2v = 2 + -2 + -7v Combine like terms: 2 + -2 = 0 0 + 2v = 2 + -2 + -7v 2v = 2 + -2 + -7v Combine like terms: 2 + -2 = 0 2v = 0 + -7v 2v = -7v Solving 2v = -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 2v + 7v = -7v + 7v Combine like terms: 2v + 7v = 9v 9v = -7v + 7v Combine like terms: -7v + 7v = 0 9v = 0 Divide each side by '9'. v = 0 Simplifying v = 0
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