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Simplifying 8(v + 5) = 4v + 16 Reorder the terms: 8(5 + v) = 4v + 16 (5 * 8 + v * 8) = 4v + 16 (40 + 8v) = 4v + 16 Reorder the terms: 40 + 8v = 16 + 4v Solving 40 + 8v = 16 + 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. 40 + 8v + -4v = 16 + 4v + -4v Combine like terms: 8v + -4v = 4v 40 + 4v = 16 + 4v + -4v Combine like terms: 4v + -4v = 0 40 + 4v = 16 + 0 40 + 4v = 16 Add '-40' to each side of the equation. 40 + -40 + 4v = 16 + -40 Combine like terms: 40 + -40 = 0 0 + 4v = 16 + -40 4v = 16 + -40 Combine like terms: 16 + -40 = -24 4v = -24 Divide each side by '4'. v = -6 Simplifying v = -6
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