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Simplifying 4(v + 5) = 9v + 5 Reorder the terms: 4(5 + v) = 9v + 5 (5 * 4 + v * 4) = 9v + 5 (20 + 4v) = 9v + 5 Reorder the terms: 20 + 4v = 5 + 9v Solving 20 + 4v = 5 + 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. 20 + 4v + -9v = 5 + 9v + -9v Combine like terms: 4v + -9v = -5v 20 + -5v = 5 + 9v + -9v Combine like terms: 9v + -9v = 0 20 + -5v = 5 + 0 20 + -5v = 5 Add '-20' to each side of the equation. 20 + -20 + -5v = 5 + -20 Combine like terms: 20 + -20 = 0 0 + -5v = 5 + -20 -5v = 5 + -20 Combine like terms: 5 + -20 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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