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Simplifying -3(v + 5) = -6v + -30 Reorder the terms: -3(5 + v) = -6v + -30 (5 * -3 + v * -3) = -6v + -30 (-15 + -3v) = -6v + -30 Reorder the terms: -15 + -3v = -30 + -6v Solving -15 + -3v = -30 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -15 + -3v + 6v = -30 + -6v + 6v Combine like terms: -3v + 6v = 3v -15 + 3v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 -15 + 3v = -30 + 0 -15 + 3v = -30 Add '15' to each side of the equation. -15 + 15 + 3v = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 3v = -30 + 15 3v = -30 + 15 Combine like terms: -30 + 15 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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