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Simplifying 3(v + -9) = 9v + -45 Reorder the terms: 3(-9 + v) = 9v + -45 (-9 * 3 + v * 3) = 9v + -45 (-27 + 3v) = 9v + -45 Reorder the terms: -27 + 3v = -45 + 9v Solving -27 + 3v = -45 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -27 + 3v + -9v = -45 + 9v + -9v Combine like terms: 3v + -9v = -6v -27 + -6v = -45 + 9v + -9v Combine like terms: 9v + -9v = 0 -27 + -6v = -45 + 0 -27 + -6v = -45 Add '27' to each side of the equation. -27 + 27 + -6v = -45 + 27 Combine like terms: -27 + 27 = 0 0 + -6v = -45 + 27 -6v = -45 + 27 Combine like terms: -45 + 27 = -18 -6v = -18 Divide each side by '-6'. v = 3 Simplifying v = 3
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