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Simplifying 4(v + 8) = 2v + 20 Reorder the terms: 4(8 + v) = 2v + 20 (8 * 4 + v * 4) = 2v + 20 (32 + 4v) = 2v + 20 Reorder the terms: 32 + 4v = 20 + 2v Solving 32 + 4v = 20 + 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. 32 + 4v + -2v = 20 + 2v + -2v Combine like terms: 4v + -2v = 2v 32 + 2v = 20 + 2v + -2v Combine like terms: 2v + -2v = 0 32 + 2v = 20 + 0 32 + 2v = 20 Add '-32' to each side of the equation. 32 + -32 + 2v = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 2v = 20 + -32 2v = 20 + -32 Combine like terms: 20 + -32 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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