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Simplifying -2(5v + -4) + 5v = 4(v + 5) Reorder the terms: -2(-4 + 5v) + 5v = 4(v + 5) (-4 * -2 + 5v * -2) + 5v = 4(v + 5) (8 + -10v) + 5v = 4(v + 5) Combine like terms: -10v + 5v = -5v 8 + -5v = 4(v + 5) Reorder the terms: 8 + -5v = 4(5 + v) 8 + -5v = (5 * 4 + v * 4) 8 + -5v = (20 + 4v) Solving 8 + -5v = 20 + 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. 8 + -5v + -4v = 20 + 4v + -4v Combine like terms: -5v + -4v = -9v 8 + -9v = 20 + 4v + -4v Combine like terms: 4v + -4v = 0 8 + -9v = 20 + 0 8 + -9v = 20 Add '-8' to each side of the equation. 8 + -8 + -9v = 20 + -8 Combine like terms: 8 + -8 = 0 0 + -9v = 20 + -8 -9v = 20 + -8 Combine like terms: 20 + -8 = 12 -9v = 12 Divide each side by '-9'. v = -1.333333333 Simplifying v = -1.333333333
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