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Simplifying 3(4v + -2) = 33 + -1v Reorder the terms: 3(-2 + 4v) = 33 + -1v (-2 * 3 + 4v * 3) = 33 + -1v (-6 + 12v) = 33 + -1v Solving -6 + 12v = 33 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. -6 + 12v + v = 33 + -1v + v Combine like terms: 12v + v = 13v -6 + 13v = 33 + -1v + v Combine like terms: -1v + v = 0 -6 + 13v = 33 + 0 -6 + 13v = 33 Add '6' to each side of the equation. -6 + 6 + 13v = 33 + 6 Combine like terms: -6 + 6 = 0 0 + 13v = 33 + 6 13v = 33 + 6 Combine like terms: 33 + 6 = 39 13v = 39 Divide each side by '13'. v = 3 Simplifying v = 3
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