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Simplifying -3(v + 7) = -5v + -33 Reorder the terms: -3(7 + v) = -5v + -33 (7 * -3 + v * -3) = -5v + -33 (-21 + -3v) = -5v + -33 Reorder the terms: -21 + -3v = -33 + -5v Solving -21 + -3v = -33 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -21 + -3v + 5v = -33 + -5v + 5v Combine like terms: -3v + 5v = 2v -21 + 2v = -33 + -5v + 5v Combine like terms: -5v + 5v = 0 -21 + 2v = -33 + 0 -21 + 2v = -33 Add '21' to each side of the equation. -21 + 21 + 2v = -33 + 21 Combine like terms: -21 + 21 = 0 0 + 2v = -33 + 21 2v = -33 + 21 Combine like terms: -33 + 21 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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