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Simplifying 6v + 21 = -3(3 + -7v) Reorder the terms: 21 + 6v = -3(3 + -7v) 21 + 6v = (3 * -3 + -7v * -3) 21 + 6v = (-9 + 21v) Solving 21 + 6v = -9 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. 21 + 6v + -21v = -9 + 21v + -21v Combine like terms: 6v + -21v = -15v 21 + -15v = -9 + 21v + -21v Combine like terms: 21v + -21v = 0 21 + -15v = -9 + 0 21 + -15v = -9 Add '-21' to each side of the equation. 21 + -21 + -15v = -9 + -21 Combine like terms: 21 + -21 = 0 0 + -15v = -9 + -21 -15v = -9 + -21 Combine like terms: -9 + -21 = -30 -15v = -30 Divide each side by '-15'. v = 2 Simplifying v = 2
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