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Simplifying 9(2v + 8) + -6v = -6(v + 3) Reorder the terms: 9(8 + 2v) + -6v = -6(v + 3) (8 * 9 + 2v * 9) + -6v = -6(v + 3) (72 + 18v) + -6v = -6(v + 3) Combine like terms: 18v + -6v = 12v 72 + 12v = -6(v + 3) Reorder the terms: 72 + 12v = -6(3 + v) 72 + 12v = (3 * -6 + v * -6) 72 + 12v = (-18 + -6v) Solving 72 + 12v = -18 + -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. 72 + 12v + 6v = -18 + -6v + 6v Combine like terms: 12v + 6v = 18v 72 + 18v = -18 + -6v + 6v Combine like terms: -6v + 6v = 0 72 + 18v = -18 + 0 72 + 18v = -18 Add '-72' to each side of the equation. 72 + -72 + 18v = -18 + -72 Combine like terms: 72 + -72 = 0 0 + 18v = -18 + -72 18v = -18 + -72 Combine like terms: -18 + -72 = -90 18v = -90 Divide each side by '18'. v = -5 Simplifying v = -5
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