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Simplifying 16 = 8(v + 5) + 4v Reorder the terms: 16 = 8(5 + v) + 4v 16 = (5 * 8 + v * 8) + 4v 16 = (40 + 8v) + 4v Combine like terms: 8v + 4v = 12v 16 = 40 + 12v Solving 16 = 40 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 16 + -12v = 40 + 12v + -12v Combine like terms: 12v + -12v = 0 16 + -12v = 40 + 0 16 + -12v = 40 Add '-16' to each side of the equation. 16 + -16 + -12v = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -12v = 40 + -16 -12v = 40 + -16 Combine like terms: 40 + -16 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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