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Simplifying 2(5v + 4) + -2v = 5v + -1(2v + 2) Reorder the terms: 2(4 + 5v) + -2v = 5v + -1(2v + 2) (4 * 2 + 5v * 2) + -2v = 5v + -1(2v + 2) (8 + 10v) + -2v = 5v + -1(2v + 2) Combine like terms: 10v + -2v = 8v 8 + 8v = 5v + -1(2v + 2) Reorder the terms: 8 + 8v = 5v + -1(2 + 2v) 8 + 8v = 5v + (2 * -1 + 2v * -1) 8 + 8v = 5v + (-2 + -2v) Reorder the terms: 8 + 8v = -2 + 5v + -2v Combine like terms: 5v + -2v = 3v 8 + 8v = -2 + 3v Solving 8 + 8v = -2 + 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. 8 + 8v + -3v = -2 + 3v + -3v Combine like terms: 8v + -3v = 5v 8 + 5v = -2 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + 5v = -2 + 0 8 + 5v = -2 Add '-8' to each side of the equation. 8 + -8 + 5v = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 5v = -2 + -8 5v = -2 + -8 Combine like terms: -2 + -8 = -10 5v = -10 Divide each side by '5'. v = -2 Simplifying v = -2
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