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Simplifying 8 = 4v + 4(v + 6) Reorder the terms: 8 = 4v + 4(6 + v) 8 = 4v + (6 * 4 + v * 4) 8 = 4v + (24 + 4v) Reorder the terms: 8 = 24 + 4v + 4v Combine like terms: 4v + 4v = 8v 8 = 24 + 8v Solving 8 = 24 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 8 + -8v = 24 + 8v + -8v Combine like terms: 8v + -8v = 0 8 + -8v = 24 + 0 8 + -8v = 24 Add '-8' to each side of the equation. 8 + -8 + -8v = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -8v = 24 + -8 -8v = 24 + -8 Combine like terms: 24 + -8 = 16 -8v = 16 Divide each side by '-8'. v = -2 Simplifying v = -2
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