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Simplifying 3 = 3(v + 5) + 3v Reorder the terms: 3 = 3(5 + v) + 3v 3 = (5 * 3 + v * 3) + 3v 3 = (15 + 3v) + 3v Combine like terms: 3v + 3v = 6v 3 = 15 + 6v Solving 3 = 15 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 3 + -6v = 15 + 6v + -6v Combine like terms: 6v + -6v = 0 3 + -6v = 15 + 0 3 + -6v = 15 Add '-3' to each side of the equation. 3 + -3 + -6v = 15 + -3 Combine like terms: 3 + -3 = 0 0 + -6v = 15 + -3 -6v = 15 + -3 Combine like terms: 15 + -3 = 12 -6v = 12 Divide each side by '-6'. v = -2 Simplifying v = -2
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