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Simplifying -7v + 4v = -4(8 + -2v) + -5(-2v + 2) Combine like terms: -7v + 4v = -3v -3v = -4(8 + -2v) + -5(-2v + 2) -3v = (8 * -4 + -2v * -4) + -5(-2v + 2) -3v = (-32 + 8v) + -5(-2v + 2) Reorder the terms: -3v = -32 + 8v + -5(2 + -2v) -3v = -32 + 8v + (2 * -5 + -2v * -5) -3v = -32 + 8v + (-10 + 10v) Reorder the terms: -3v = -32 + -10 + 8v + 10v Combine like terms: -32 + -10 = -42 -3v = -42 + 8v + 10v Combine like terms: 8v + 10v = 18v -3v = -42 + 18v Solving -3v = -42 + 18v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18v' to each side of the equation. -3v + -18v = -42 + 18v + -18v Combine like terms: -3v + -18v = -21v -21v = -42 + 18v + -18v Combine like terms: 18v + -18v = 0 -21v = -42 + 0 -21v = -42 Divide each side by '-21'. v = 2 Simplifying v = 2
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