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Simplifying 5(v + 1) = 3(v + 4) + -5 Reorder the terms: 5(1 + v) = 3(v + 4) + -5 (1 * 5 + v * 5) = 3(v + 4) + -5 (5 + 5v) = 3(v + 4) + -5 Reorder the terms: 5 + 5v = 3(4 + v) + -5 5 + 5v = (4 * 3 + v * 3) + -5 5 + 5v = (12 + 3v) + -5 Reorder the terms: 5 + 5v = 12 + -5 + 3v Combine like terms: 12 + -5 = 7 5 + 5v = 7 + 3v Solving 5 + 5v = 7 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 5 + 5v + -3v = 7 + 3v + -3v Combine like terms: 5v + -3v = 2v 5 + 2v = 7 + 3v + -3v Combine like terms: 3v + -3v = 0 5 + 2v = 7 + 0 5 + 2v = 7 Add '-5' to each side of the equation. 5 + -5 + 2v = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 7 + -5 2v = 7 + -5 Combine like terms: 7 + -5 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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