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Simplifying 2(5v + 7) = -18 + -3v Reorder the terms: 2(7 + 5v) = -18 + -3v (7 * 2 + 5v * 2) = -18 + -3v (14 + 10v) = -18 + -3v Solving 14 + 10v = -18 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 14 + 10v + 3v = -18 + -3v + 3v Combine like terms: 10v + 3v = 13v 14 + 13v = -18 + -3v + 3v Combine like terms: -3v + 3v = 0 14 + 13v = -18 + 0 14 + 13v = -18 Add '-14' to each side of the equation. 14 + -14 + 13v = -18 + -14 Combine like terms: 14 + -14 = 0 0 + 13v = -18 + -14 13v = -18 + -14 Combine like terms: -18 + -14 = -32 13v = -32 Divide each side by '13'. v = -2.461538462 Simplifying v = -2.461538462
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