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Simplifying 5v + 5 = 1 + 2(5 + 3v) Reorder the terms: 5 + 5v = 1 + 2(5 + 3v) 5 + 5v = 1 + (5 * 2 + 3v * 2) 5 + 5v = 1 + (10 + 6v) Combine like terms: 1 + 10 = 11 5 + 5v = 11 + 6v Solving 5 + 5v = 11 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 5 + 5v + -6v = 11 + 6v + -6v Combine like terms: 5v + -6v = -1v 5 + -1v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 5 + -1v = 11 + 0 5 + -1v = 11 Add '-5' to each side of the equation. 5 + -5 + -1v = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -1v = 11 + -5 -1v = 11 + -5 Combine like terms: 11 + -5 = 6 -1v = 6 Divide each side by '-1'. v = -6 Simplifying v = -6
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