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Simplifying 3(v + 6) = -6(2v + -6) + 7v Reorder the terms: 3(6 + v) = -6(2v + -6) + 7v (6 * 3 + v * 3) = -6(2v + -6) + 7v (18 + 3v) = -6(2v + -6) + 7v Reorder the terms: 18 + 3v = -6(-6 + 2v) + 7v 18 + 3v = (-6 * -6 + 2v * -6) + 7v 18 + 3v = (36 + -12v) + 7v Combine like terms: -12v + 7v = -5v 18 + 3v = 36 + -5v Solving 18 + 3v = 36 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 18 + 3v + 5v = 36 + -5v + 5v Combine like terms: 3v + 5v = 8v 18 + 8v = 36 + -5v + 5v Combine like terms: -5v + 5v = 0 18 + 8v = 36 + 0 18 + 8v = 36 Add '-18' to each side of the equation. 18 + -18 + 8v = 36 + -18 Combine like terms: 18 + -18 = 0 0 + 8v = 36 + -18 8v = 36 + -18 Combine like terms: 36 + -18 = 18 8v = 18 Divide each side by '8'. v = 2.25 Simplifying v = 2.25
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