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Simplifying -6(v + 9) = 2v + -14 Reorder the terms: -6(9 + v) = 2v + -14 (9 * -6 + v * -6) = 2v + -14 (-54 + -6v) = 2v + -14 Reorder the terms: -54 + -6v = -14 + 2v Solving -54 + -6v = -14 + 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 = -14 + 2v + -2v Combine like terms: -6v + -2v = -8v -54 + -8v = -14 + 2v + -2v Combine like terms: 2v + -2v = 0 -54 + -8v = -14 + 0 -54 + -8v = -14 Add '54' to each side of the equation. -54 + 54 + -8v = -14 + 54 Combine like terms: -54 + 54 = 0 0 + -8v = -14 + 54 -8v = -14 + 54 Combine like terms: -14 + 54 = 40 -8v = 40 Divide each side by '-8'. v = -5 Simplifying v = -5
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