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Simplifying 3v + 27 = 8(v + 9) Reorder the terms: 27 + 3v = 8(v + 9) Reorder the terms: 27 + 3v = 8(9 + v) 27 + 3v = (9 * 8 + v * 8) 27 + 3v = (72 + 8v) Solving 27 + 3v = 72 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 27 + 3v + -8v = 72 + 8v + -8v Combine like terms: 3v + -8v = -5v 27 + -5v = 72 + 8v + -8v Combine like terms: 8v + -8v = 0 27 + -5v = 72 + 0 27 + -5v = 72 Add '-27' to each side of the equation. 27 + -27 + -5v = 72 + -27 Combine like terms: 27 + -27 = 0 0 + -5v = 72 + -27 -5v = 72 + -27 Combine like terms: 72 + -27 = 45 -5v = 45 Divide each side by '-5'. v = -9 Simplifying v = -9
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