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Simplifying 4v + 8 + -2(-5v + -1) = (4v + -2) Reorder the terms: 4v + 8 + -2(-1 + -5v) = (4v + -2) 4v + 8 + (-1 * -2 + -5v * -2) = (4v + -2) 4v + 8 + (2 + 10v) = (4v + -2) Reorder the terms: 8 + 2 + 4v + 10v = (4v + -2) Combine like terms: 8 + 2 = 10 10 + 4v + 10v = (4v + -2) Combine like terms: 4v + 10v = 14v 10 + 14v = (4v + -2) Reorder the terms: 10 + 14v = (-2 + 4v) Remove parenthesis around (-2 + 4v) 10 + 14v = -2 + 4v Solving 10 + 14v = -2 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 10 + 14v + -4v = -2 + 4v + -4v Combine like terms: 14v + -4v = 10v 10 + 10v = -2 + 4v + -4v Combine like terms: 4v + -4v = 0 10 + 10v = -2 + 0 10 + 10v = -2 Add '-10' to each side of the equation. 10 + -10 + 10v = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 10v = -2 + -10 10v = -2 + -10 Combine like terms: -2 + -10 = -12 10v = -12 Divide each side by '10'. v = -1.2 Simplifying v = -1.2
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