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Simplifying 3(2v + 4) = -6v + 36 Reorder the terms: 3(4 + 2v) = -6v + 36 (4 * 3 + 2v * 3) = -6v + 36 (12 + 6v) = -6v + 36 Reorder the terms: 12 + 6v = 36 + -6v Solving 12 + 6v = 36 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 12 + 6v + 6v = 36 + -6v + 6v Combine like terms: 6v + 6v = 12v 12 + 12v = 36 + -6v + 6v Combine like terms: -6v + 6v = 0 12 + 12v = 36 + 0 12 + 12v = 36 Add '-12' to each side of the equation. 12 + -12 + 12v = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 12v = 36 + -12 12v = 36 + -12 Combine like terms: 36 + -12 = 24 12v = 24 Divide each side by '12'. v = 2 Simplifying v = 2
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