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Simplifying 6(v + 9) = -6(2v + -6) + 8v Reorder the terms: 6(9 + v) = -6(2v + -6) + 8v (9 * 6 + v * 6) = -6(2v + -6) + 8v (54 + 6v) = -6(2v + -6) + 8v Reorder the terms: 54 + 6v = -6(-6 + 2v) + 8v 54 + 6v = (-6 * -6 + 2v * -6) + 8v 54 + 6v = (36 + -12v) + 8v Combine like terms: -12v + 8v = -4v 54 + 6v = 36 + -4v Solving 54 + 6v = 36 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 54 + 6v + 4v = 36 + -4v + 4v Combine like terms: 6v + 4v = 10v 54 + 10v = 36 + -4v + 4v Combine like terms: -4v + 4v = 0 54 + 10v = 36 + 0 54 + 10v = 36 Add '-54' to each side of the equation. 54 + -54 + 10v = 36 + -54 Combine like terms: 54 + -54 = 0 0 + 10v = 36 + -54 10v = 36 + -54 Combine like terms: 36 + -54 = -18 10v = -18 Divide each side by '10'. v = -1.8 Simplifying v = -1.8
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