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Simplifying -6v + -30 = -9(v + 2) Reorder the terms: -30 + -6v = -9(v + 2) Reorder the terms: -30 + -6v = -9(2 + v) -30 + -6v = (2 * -9 + v * -9) -30 + -6v = (-18 + -9v) Solving -30 + -6v = -18 + -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. -30 + -6v + 9v = -18 + -9v + 9v Combine like terms: -6v + 9v = 3v -30 + 3v = -18 + -9v + 9v Combine like terms: -9v + 9v = 0 -30 + 3v = -18 + 0 -30 + 3v = -18 Add '30' to each side of the equation. -30 + 30 + 3v = -18 + 30 Combine like terms: -30 + 30 = 0 0 + 3v = -18 + 30 3v = -18 + 30 Combine like terms: -18 + 30 = 12 3v = 12 Divide each side by '3'. v = 4 Simplifying v = 4
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