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Simplifying 3(v + -2) = -3v + -30 Reorder the terms: 3(-2 + v) = -3v + -30 (-2 * 3 + v * 3) = -3v + -30 (-6 + 3v) = -3v + -30 Reorder the terms: -6 + 3v = -30 + -3v Solving -6 + 3v = -30 + -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. -6 + 3v + 3v = -30 + -3v + 3v Combine like terms: 3v + 3v = 6v -6 + 6v = -30 + -3v + 3v Combine like terms: -3v + 3v = 0 -6 + 6v = -30 + 0 -6 + 6v = -30 Add '6' to each side of the equation. -6 + 6 + 6v = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 6v = -30 + 6 6v = -30 + 6 Combine like terms: -30 + 6 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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