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Simplifying -3(3 + -5v) + -6v = -6v + 21 (3 * -3 + -5v * -3) + -6v = -6v + 21 (-9 + 15v) + -6v = -6v + 21 Combine like terms: 15v + -6v = 9v -9 + 9v = -6v + 21 Reorder the terms: -9 + 9v = 21 + -6v Solving -9 + 9v = 21 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -9 + 9v + 6v = 21 + -6v + 6v Combine like terms: 9v + 6v = 15v -9 + 15v = 21 + -6v + 6v Combine like terms: -6v + 6v = 0 -9 + 15v = 21 + 0 -9 + 15v = 21 Add '9' to each side of the equation. -9 + 9 + 15v = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 15v = 21 + 9 15v = 21 + 9 Combine like terms: 21 + 9 = 30 15v = 30 Divide each side by '15'. v = 2 Simplifying v = 2
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