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Simplifying -3(2v + -6) + 9v = 5 + 2(6v + 1) Reorder the terms: -3(-6 + 2v) + 9v = 5 + 2(6v + 1) (-6 * -3 + 2v * -3) + 9v = 5 + 2(6v + 1) (18 + -6v) + 9v = 5 + 2(6v + 1) Combine like terms: -6v + 9v = 3v 18 + 3v = 5 + 2(6v + 1) Reorder the terms: 18 + 3v = 5 + 2(1 + 6v) 18 + 3v = 5 + (1 * 2 + 6v * 2) 18 + 3v = 5 + (2 + 12v) Combine like terms: 5 + 2 = 7 18 + 3v = 7 + 12v Solving 18 + 3v = 7 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 18 + 3v + -12v = 7 + 12v + -12v Combine like terms: 3v + -12v = -9v 18 + -9v = 7 + 12v + -12v Combine like terms: 12v + -12v = 0 18 + -9v = 7 + 0 18 + -9v = 7 Add '-18' to each side of the equation. 18 + -18 + -9v = 7 + -18 Combine like terms: 18 + -18 = 0 0 + -9v = 7 + -18 -9v = 7 + -18 Combine like terms: 7 + -18 = -11 -9v = -11 Divide each side by '-9'. v = 1.222222222 Simplifying v = 1.222222222
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