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Simplifying 3(v + -1) = -3v + 9 Reorder the terms: 3(-1 + v) = -3v + 9 (-1 * 3 + v * 3) = -3v + 9 (-3 + 3v) = -3v + 9 Reorder the terms: -3 + 3v = 9 + -3v Solving -3 + 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. -3 + 3v + 3v = 9 + -3v + 3v Combine like terms: 3v + 3v = 6v -3 + 6v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 -3 + 6v = 9 + 0 -3 + 6v = 9 Add '3' to each side of the equation. -3 + 3 + 6v = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6v = 9 + 3 6v = 9 + 3 Combine like terms: 9 + 3 = 12 6v = 12 Divide each side by '6'. v = 2 Simplifying v = 2
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