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Simplifying (7 + v) * 4 + -16 = 18 + 2v Reorder the terms for easier multiplication: 4(7 + v) + -16 = 18 + 2v (7 * 4 + v * 4) + -16 = 18 + 2v (28 + 4v) + -16 = 18 + 2v Reorder the terms: 28 + -16 + 4v = 18 + 2v Combine like terms: 28 + -16 = 12 12 + 4v = 18 + 2v Solving 12 + 4v = 18 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 12 + 4v + -2v = 18 + 2v + -2v Combine like terms: 4v + -2v = 2v 12 + 2v = 18 + 2v + -2v Combine like terms: 2v + -2v = 0 12 + 2v = 18 + 0 12 + 2v = 18 Add '-12' to each side of the equation. 12 + -12 + 2v = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = 18 + -12 2v = 18 + -12 Combine like terms: 18 + -12 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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