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Simplifying 3(8 + 6v) + 8 = -40 + 6v (8 * 3 + 6v * 3) + 8 = -40 + 6v (24 + 18v) + 8 = -40 + 6v Reorder the terms: 24 + 8 + 18v = -40 + 6v Combine like terms: 24 + 8 = 32 32 + 18v = -40 + 6v Solving 32 + 18v = -40 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 32 + 18v + -6v = -40 + 6v + -6v Combine like terms: 18v + -6v = 12v 32 + 12v = -40 + 6v + -6v Combine like terms: 6v + -6v = 0 32 + 12v = -40 + 0 32 + 12v = -40 Add '-32' to each side of the equation. 32 + -32 + 12v = -40 + -32 Combine like terms: 32 + -32 = 0 0 + 12v = -40 + -32 12v = -40 + -32 Combine like terms: -40 + -32 = -72 12v = -72 Divide each side by '12'. v = -6 Simplifying v = -6
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