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Simplifying -2(v + -6) = 7v + -33 Reorder the terms: -2(-6 + v) = 7v + -33 (-6 * -2 + v * -2) = 7v + -33 (12 + -2v) = 7v + -33 Reorder the terms: 12 + -2v = -33 + 7v Solving 12 + -2v = -33 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 12 + -2v + -7v = -33 + 7v + -7v Combine like terms: -2v + -7v = -9v 12 + -9v = -33 + 7v + -7v Combine like terms: 7v + -7v = 0 12 + -9v = -33 + 0 12 + -9v = -33 Add '-12' to each side of the equation. 12 + -12 + -9v = -33 + -12 Combine like terms: 12 + -12 = 0 0 + -9v = -33 + -12 -9v = -33 + -12 Combine like terms: -33 + -12 = -45 -9v = -45 Divide each side by '-9'. v = 5 Simplifying v = 5
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