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Simplifying 1 = -5v + 3(v + 7) Reorder the terms: 1 = -5v + 3(7 + v) 1 = -5v + (7 * 3 + v * 3) 1 = -5v + (21 + 3v) Reorder the terms: 1 = 21 + -5v + 3v Combine like terms: -5v + 3v = -2v 1 = 21 + -2v Solving 1 = 21 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 1 + 2v = 21 + -2v + 2v Combine like terms: -2v + 2v = 0 1 + 2v = 21 + 0 1 + 2v = 21 Add '-1' to each side of the equation. 1 + -1 + 2v = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 2v = 21 + -1 2v = 21 + -1 Combine like terms: 21 + -1 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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