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Simplifying 5v + 3 = 8 + -5(4v + -4) Reorder the terms: 3 + 5v = 8 + -5(4v + -4) Reorder the terms: 3 + 5v = 8 + -5(-4 + 4v) 3 + 5v = 8 + (-4 * -5 + 4v * -5) 3 + 5v = 8 + (20 + -20v) Combine like terms: 8 + 20 = 28 3 + 5v = 28 + -20v Solving 3 + 5v = 28 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 3 + 5v + 20v = 28 + -20v + 20v Combine like terms: 5v + 20v = 25v 3 + 25v = 28 + -20v + 20v Combine like terms: -20v + 20v = 0 3 + 25v = 28 + 0 3 + 25v = 28 Add '-3' to each side of the equation. 3 + -3 + 25v = 28 + -3 Combine like terms: 3 + -3 = 0 0 + 25v = 28 + -3 25v = 28 + -3 Combine like terms: 28 + -3 = 25 25v = 25 Divide each side by '25'. v = 1 Simplifying v = 1
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