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Simplifying 3v + 21 = -3(v + 5) Reorder the terms: 21 + 3v = -3(v + 5) Reorder the terms: 21 + 3v = -3(5 + v) 21 + 3v = (5 * -3 + v * -3) 21 + 3v = (-15 + -3v) Solving 21 + 3v = -15 + -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. 21 + 3v + 3v = -15 + -3v + 3v Combine like terms: 3v + 3v = 6v 21 + 6v = -15 + -3v + 3v Combine like terms: -3v + 3v = 0 21 + 6v = -15 + 0 21 + 6v = -15 Add '-21' to each side of the equation. 21 + -21 + 6v = -15 + -21 Combine like terms: 21 + -21 = 0 0 + 6v = -15 + -21 6v = -15 + -21 Combine like terms: -15 + -21 = -36 6v = -36 Divide each side by '6'. v = -6 Simplifying v = -6
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