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Simplifying 21 = -5v + 3(v + 5) Reorder the terms: 21 = -5v + 3(5 + v) 21 = -5v + (5 * 3 + v * 3) 21 = -5v + (15 + 3v) Reorder the terms: 21 = 15 + -5v + 3v Combine like terms: -5v + 3v = -2v 21 = 15 + -2v Solving 21 = 15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 21 + 2v = 15 + -2v + 2v Combine like terms: -2v + 2v = 0 21 + 2v = 15 + 0 21 + 2v = 15 Add '-21' to each side of the equation. 21 + -21 + 2v = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 2v = 15 + -21 2v = 15 + -21 Combine like terms: 15 + -21 = -6 2v = -6 Divide each side by '2'. v = -3 Simplifying v = -3
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