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Simplifying 4v + 21 = 9(v + 4) Reorder the terms: 21 + 4v = 9(v + 4) Reorder the terms: 21 + 4v = 9(4 + v) 21 + 4v = (4 * 9 + v * 9) 21 + 4v = (36 + 9v) Solving 21 + 4v = 36 + 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. 21 + 4v + -9v = 36 + 9v + -9v Combine like terms: 4v + -9v = -5v 21 + -5v = 36 + 9v + -9v Combine like terms: 9v + -9v = 0 21 + -5v = 36 + 0 21 + -5v = 36 Add '-21' to each side of the equation. 21 + -21 + -5v = 36 + -21 Combine like terms: 21 + -21 = 0 0 + -5v = 36 + -21 -5v = 36 + -21 Combine like terms: 36 + -21 = 15 -5v = 15 Divide each side by '-5'. v = -3 Simplifying v = -3
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