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Simplifying -33 + -6v = -3(8 + 5v) -33 + -6v = (8 * -3 + 5v * -3) -33 + -6v = (-24 + -15v) Solving -33 + -6v = -24 + -15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15v' to each side of the equation. -33 + -6v + 15v = -24 + -15v + 15v Combine like terms: -6v + 15v = 9v -33 + 9v = -24 + -15v + 15v Combine like terms: -15v + 15v = 0 -33 + 9v = -24 + 0 -33 + 9v = -24 Add '33' to each side of the equation. -33 + 33 + 9v = -24 + 33 Combine like terms: -33 + 33 = 0 0 + 9v = -24 + 33 9v = -24 + 33 Combine like terms: -24 + 33 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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