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Simplifying 3(v + 6) = -11(v + -10) Reorder the terms: 3(6 + v) = -11(v + -10) (6 * 3 + v * 3) = -11(v + -10) (18 + 3v) = -11(v + -10) Reorder the terms: 18 + 3v = -11(-10 + v) 18 + 3v = (-10 * -11 + v * -11) 18 + 3v = (110 + -11v) Solving 18 + 3v = 110 + -11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '11v' to each side of the equation. 18 + 3v + 11v = 110 + -11v + 11v Combine like terms: 3v + 11v = 14v 18 + 14v = 110 + -11v + 11v Combine like terms: -11v + 11v = 0 18 + 14v = 110 + 0 18 + 14v = 110 Add '-18' to each side of the equation. 18 + -18 + 14v = 110 + -18 Combine like terms: 18 + -18 = 0 0 + 14v = 110 + -18 14v = 110 + -18 Combine like terms: 110 + -18 = 92 14v = 92 Divide each side by '14'. v = 6.571428571 Simplifying v = 6.571428571
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