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Simplifying -6(v + 9) = -2v + -38 Reorder the terms: -6(9 + v) = -2v + -38 (9 * -6 + v * -6) = -2v + -38 (-54 + -6v) = -2v + -38 Reorder the terms: -54 + -6v = -38 + -2v Solving -54 + -6v = -38 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -54 + -6v + 2v = -38 + -2v + 2v Combine like terms: -6v + 2v = -4v -54 + -4v = -38 + -2v + 2v Combine like terms: -2v + 2v = 0 -54 + -4v = -38 + 0 -54 + -4v = -38 Add '54' to each side of the equation. -54 + 54 + -4v = -38 + 54 Combine like terms: -54 + 54 = 0 0 + -4v = -38 + 54 -4v = -38 + 54 Combine like terms: -38 + 54 = 16 -4v = 16 Divide each side by '-4'. v = -4 Simplifying v = -4
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