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Simplifying 2v + 18 = 16 + -6(v + 7) Reorder the terms: 18 + 2v = 16 + -6(v + 7) Reorder the terms: 18 + 2v = 16 + -6(7 + v) 18 + 2v = 16 + (7 * -6 + v * -6) 18 + 2v = 16 + (-42 + -6v) Combine like terms: 16 + -42 = -26 18 + 2v = -26 + -6v Solving 18 + 2v = -26 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 18 + 2v + 6v = -26 + -6v + 6v Combine like terms: 2v + 6v = 8v 18 + 8v = -26 + -6v + 6v Combine like terms: -6v + 6v = 0 18 + 8v = -26 + 0 18 + 8v = -26 Add '-18' to each side of the equation. 18 + -18 + 8v = -26 + -18 Combine like terms: 18 + -18 = 0 0 + 8v = -26 + -18 8v = -26 + -18 Combine like terms: -26 + -18 = -44 8v = -44 Divide each side by '8'. v = -5.5 Simplifying v = -5.5
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