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Simplifying 3v + 27 = 3(1 + 5v) Reorder the terms: 27 + 3v = 3(1 + 5v) 27 + 3v = (1 * 3 + 5v * 3) 27 + 3v = (3 + 15v) Solving 27 + 3v = 3 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 27 + 3v + -15v = 3 + 15v + -15v Combine like terms: 3v + -15v = -12v 27 + -12v = 3 + 15v + -15v Combine like terms: 15v + -15v = 0 27 + -12v = 3 + 0 27 + -12v = 3 Add '-27' to each side of the equation. 27 + -27 + -12v = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -12v = 3 + -27 -12v = 3 + -27 Combine like terms: 3 + -27 = -24 -12v = -24 Divide each side by '-12'. v = 2 Simplifying v = 2
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