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Simplifying 7v + 1 = 3(v + 7) Reorder the terms: 1 + 7v = 3(v + 7) Reorder the terms: 1 + 7v = 3(7 + v) 1 + 7v = (7 * 3 + v * 3) 1 + 7v = (21 + 3v) Solving 1 + 7v = 21 + 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. 1 + 7v + -3v = 21 + 3v + -3v Combine like terms: 7v + -3v = 4v 1 + 4v = 21 + 3v + -3v Combine like terms: 3v + -3v = 0 1 + 4v = 21 + 0 1 + 4v = 21 Add '-1' to each side of the equation. 1 + -1 + 4v = 21 + -1 Combine like terms: 1 + -1 = 0 0 + 4v = 21 + -1 4v = 21 + -1 Combine like terms: 21 + -1 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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