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Simplifying 3v + 39 = 4v + 3(v + 5) Reorder the terms: 39 + 3v = 4v + 3(v + 5) Reorder the terms: 39 + 3v = 4v + 3(5 + v) 39 + 3v = 4v + (5 * 3 + v * 3) 39 + 3v = 4v + (15 + 3v) Reorder the terms: 39 + 3v = 15 + 4v + 3v Combine like terms: 4v + 3v = 7v 39 + 3v = 15 + 7v Solving 39 + 3v = 15 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 39 + 3v + -7v = 15 + 7v + -7v Combine like terms: 3v + -7v = -4v 39 + -4v = 15 + 7v + -7v Combine like terms: 7v + -7v = 0 39 + -4v = 15 + 0 39 + -4v = 15 Add '-39' to each side of the equation. 39 + -39 + -4v = 15 + -39 Combine like terms: 39 + -39 = 0 0 + -4v = 15 + -39 -4v = 15 + -39 Combine like terms: 15 + -39 = -24 -4v = -24 Divide each side by '-4'. v = 6 Simplifying v = 6
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