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Simplifying -2(v + 7) = 2v + 18 Reorder the terms: -2(7 + v) = 2v + 18 (7 * -2 + v * -2) = 2v + 18 (-14 + -2v) = 2v + 18 Reorder the terms: -14 + -2v = 18 + 2v Solving -14 + -2v = 18 + 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. -14 + -2v + -2v = 18 + 2v + -2v Combine like terms: -2v + -2v = -4v -14 + -4v = 18 + 2v + -2v Combine like terms: 2v + -2v = 0 -14 + -4v = 18 + 0 -14 + -4v = 18 Add '14' to each side of the equation. -14 + 14 + -4v = 18 + 14 Combine like terms: -14 + 14 = 0 0 + -4v = 18 + 14 -4v = 18 + 14 Combine like terms: 18 + 14 = 32 -4v = 32 Divide each side by '-4'. v = -8 Simplifying v = -8
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