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Simplifying -6(v + 9) = -8v + -40 Reorder the terms: -6(9 + v) = -8v + -40 (9 * -6 + v * -6) = -8v + -40 (-54 + -6v) = -8v + -40 Reorder the terms: -54 + -6v = -40 + -8v Solving -54 + -6v = -40 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -54 + -6v + 8v = -40 + -8v + 8v Combine like terms: -6v + 8v = 2v -54 + 2v = -40 + -8v + 8v Combine like terms: -8v + 8v = 0 -54 + 2v = -40 + 0 -54 + 2v = -40 Add '54' to each side of the equation. -54 + 54 + 2v = -40 + 54 Combine like terms: -54 + 54 = 0 0 + 2v = -40 + 54 2v = -40 + 54 Combine like terms: -40 + 54 = 14 2v = 14 Divide each side by '2'. v = 7 Simplifying v = 7
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