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Simplifying 7v + 39 = 3(v + 9) Reorder the terms: 39 + 7v = 3(v + 9) Reorder the terms: 39 + 7v = 3(9 + v) 39 + 7v = (9 * 3 + v * 3) 39 + 7v = (27 + 3v) Solving 39 + 7v = 27 + 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. 39 + 7v + -3v = 27 + 3v + -3v Combine like terms: 7v + -3v = 4v 39 + 4v = 27 + 3v + -3v Combine like terms: 3v + -3v = 0 39 + 4v = 27 + 0 39 + 4v = 27 Add '-39' to each side of the equation. 39 + -39 + 4v = 27 + -39 Combine like terms: 39 + -39 = 0 0 + 4v = 27 + -39 4v = 27 + -39 Combine like terms: 27 + -39 = -12 4v = -12 Divide each side by '4'. v = -3 Simplifying v = -3
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