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Simplifying 33 = -6v + -3(1 + -5v) 33 = -6v + (1 * -3 + -5v * -3) 33 = -6v + (-3 + 15v) Reorder the terms: 33 = -3 + -6v + 15v Combine like terms: -6v + 15v = 9v 33 = -3 + 9v Solving 33 = -3 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 33 + -9v = -3 + 9v + -9v Combine like terms: 9v + -9v = 0 33 + -9v = -3 + 0 33 + -9v = -3 Add '-33' to each side of the equation. 33 + -33 + -9v = -3 + -33 Combine like terms: 33 + -33 = 0 0 + -9v = -3 + -33 -9v = -3 + -33 Combine like terms: -3 + -33 = -36 -9v = -36 Divide each side by '-9'. v = 4 Simplifying v = 4
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