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Simplifying 9(v + 5) = 3v + 21 Reorder the terms: 9(5 + v) = 3v + 21 (5 * 9 + v * 9) = 3v + 21 (45 + 9v) = 3v + 21 Reorder the terms: 45 + 9v = 21 + 3v Solving 45 + 9v = 21 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 45 + 9v + -3v = 21 + 3v + -3v Combine like terms: 9v + -3v = 6v 45 + 6v = 21 + 3v + -3v Combine like terms: 3v + -3v = 0 45 + 6v = 21 + 0 45 + 6v = 21 Add '-45' to each side of the equation. 45 + -45 + 6v = 21 + -45 Combine like terms: 45 + -45 = 0 0 + 6v = 21 + -45 6v = 21 + -45 Combine like terms: 21 + -45 = -24 6v = -24 Divide each side by '6'. v = -4 Simplifying v = -4
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