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Simplifying 33 + 5v = 2(7v + -6) Reorder the terms: 33 + 5v = 2(-6 + 7v) 33 + 5v = (-6 * 2 + 7v * 2) 33 + 5v = (-12 + 14v) Solving 33 + 5v = -12 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 33 + 5v + -14v = -12 + 14v + -14v Combine like terms: 5v + -14v = -9v 33 + -9v = -12 + 14v + -14v Combine like terms: 14v + -14v = 0 33 + -9v = -12 + 0 33 + -9v = -12 Add '-33' to each side of the equation. 33 + -33 + -9v = -12 + -33 Combine like terms: 33 + -33 = 0 0 + -9v = -12 + -33 -9v = -12 + -33 Combine like terms: -12 + -33 = -45 -9v = -45 Divide each side by '-9'. v = 5 Simplifying v = 5
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