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Simplifying 2v + 18 = 16 + -4[v + 7] Reorder the terms: 18 + 2v = 16 + -4[v + 7] Reorder the terms: 18 + 2v = 16 + -4[7 + v] 18 + 2v = 16 + [7 * -4 + v * -4] 18 + 2v = 16 + [-28 + -4v] Combine like terms: 16 + -28 = -12 18 + 2v = -12 + -4v Solving 18 + 2v = -12 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 18 + 2v + 4v = -12 + -4v + 4v Combine like terms: 2v + 4v = 6v 18 + 6v = -12 + -4v + 4v Combine like terms: -4v + 4v = 0 18 + 6v = -12 + 0 18 + 6v = -12 Add '-18' to each side of the equation. 18 + -18 + 6v = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = -12 + -18 6v = -12 + -18 Combine like terms: -12 + -18 = -30 6v = -30 Divide each side by '6'. v = -5 Simplifying v = -5
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