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Simplifying 2v + 18 = 12 + -6(v + 7) Reorder the terms: 18 + 2v = 12 + -6(v + 7) Reorder the terms: 18 + 2v = 12 + -6(7 + v) 18 + 2v = 12 + (7 * -6 + v * -6) 18 + 2v = 12 + (-42 + -6v) Combine like terms: 12 + -42 = -30 18 + 2v = -30 + -6v Solving 18 + 2v = -30 + -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 = -30 + -6v + 6v Combine like terms: 2v + 6v = 8v 18 + 8v = -30 + -6v + 6v Combine like terms: -6v + 6v = 0 18 + 8v = -30 + 0 18 + 8v = -30 Add '-18' to each side of the equation. 18 + -18 + 8v = -30 + -18 Combine like terms: 18 + -18 = 0 0 + 8v = -30 + -18 8v = -30 + -18 Combine like terms: -30 + -18 = -48 8v = -48 Divide each side by '8'. v = -6 Simplifying v = -6
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