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Simplifying -2(2v + -5) + 8v = 2 + 2(4v + -1) Reorder the terms: -2(-5 + 2v) + 8v = 2 + 2(4v + -1) (-5 * -2 + 2v * -2) + 8v = 2 + 2(4v + -1) (10 + -4v) + 8v = 2 + 2(4v + -1) Combine like terms: -4v + 8v = 4v 10 + 4v = 2 + 2(4v + -1) Reorder the terms: 10 + 4v = 2 + 2(-1 + 4v) 10 + 4v = 2 + (-1 * 2 + 4v * 2) 10 + 4v = 2 + (-2 + 8v) Combine like terms: 2 + -2 = 0 10 + 4v = 0 + 8v 10 + 4v = 8v Solving 10 + 4v = 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 10 + 4v + -8v = 8v + -8v Combine like terms: 4v + -8v = -4v 10 + -4v = 8v + -8v Combine like terms: 8v + -8v = 0 10 + -4v = 0 Add '-10' to each side of the equation. 10 + -10 + -4v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4v = 0 + -10 -4v = 0 + -10 Combine like terms: 0 + -10 = -10 -4v = -10 Divide each side by '-4'. v = 2.5 Simplifying v = 2.5
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