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Simplifying 4(v + 8) = 9v + 12 Reorder the terms: 4(8 + v) = 9v + 12 (8 * 4 + v * 4) = 9v + 12 (32 + 4v) = 9v + 12 Reorder the terms: 32 + 4v = 12 + 9v Solving 32 + 4v = 12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 32 + 4v + -9v = 12 + 9v + -9v Combine like terms: 4v + -9v = -5v 32 + -5v = 12 + 9v + -9v Combine like terms: 9v + -9v = 0 32 + -5v = 12 + 0 32 + -5v = 12 Add '-32' to each side of the equation. 32 + -32 + -5v = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -5v = 12 + -32 -5v = 12 + -32 Combine like terms: 12 + -32 = -20 -5v = -20 Divide each side by '-5'. v = 4 Simplifying v = 4
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