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