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Simplifying -3(v + 3) = 5v + -33 Reorder the terms: -3(3 + v) = 5v + -33 (3 * -3 + v * -3) = 5v + -33 (-9 + -3v) = 5v + -33 Reorder the terms: -9 + -3v = -33 + 5v Solving -9 + -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. -9 + -3v + -5v = -33 + 5v + -5v Combine like terms: -3v + -5v = -8v -9 + -8v = -33 + 5v + -5v Combine like terms: 5v + -5v = 0 -9 + -8v = -33 + 0 -9 + -8v = -33 Add '9' to each side of the equation. -9 + 9 + -8v = -33 + 9 Combine like terms: -9 + 9 = 0 0 + -8v = -33 + 9 -8v = -33 + 9 Combine like terms: -33 + 9 = -24 -8v = -24 Divide each side by '-8'. v = 3 Simplifying v = 3
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