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Simplifying 5v + 1 = 6 + -5(4v + -4) Reorder the terms: 1 + 5v = 6 + -5(4v + -4) Reorder the terms: 1 + 5v = 6 + -5(-4 + 4v) 1 + 5v = 6 + (-4 * -5 + 4v * -5) 1 + 5v = 6 + (20 + -20v) Combine like terms: 6 + 20 = 26 1 + 5v = 26 + -20v Solving 1 + 5v = 26 + -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. 1 + 5v + 20v = 26 + -20v + 20v Combine like terms: 5v + 20v = 25v 1 + 25v = 26 + -20v + 20v Combine like terms: -20v + 20v = 0 1 + 25v = 26 + 0 1 + 25v = 26 Add '-1' to each side of the equation. 1 + -1 + 25v = 26 + -1 Combine like terms: 1 + -1 = 0 0 + 25v = 26 + -1 25v = 26 + -1 Combine like terms: 26 + -1 = 25 25v = 25 Divide each side by '25'. v = 1 Simplifying v = 1
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