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Simplifying -30 = -3(v + 7) Reorder the terms: -30 = -3(7 + v) -30 = (7 * -3 + v * -3) -30 = (-21 + -3v) Solving -30 = -21 + -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. -30 + 3v = -21 + -3v + 3v Combine like terms: -3v + 3v = 0 -30 + 3v = -21 + 0 -30 + 3v = -21 Add '30' to each side of the equation. -30 + 30 + 3v = -21 + 30 Combine like terms: -30 + 30 = 0 0 + 3v = -21 + 30 3v = -21 + 30 Combine like terms: -21 + 30 = 9 3v = 9 Divide each side by '3'. v = 3 Simplifying v = 3
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