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Simplifying 6v + 3 = -9(v + 3) Reorder the terms: 3 + 6v = -9(v + 3) Reorder the terms: 3 + 6v = -9(3 + v) 3 + 6v = (3 * -9 + v * -9) 3 + 6v = (-27 + -9v) Solving 3 + 6v = -27 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 3 + 6v + 9v = -27 + -9v + 9v Combine like terms: 6v + 9v = 15v 3 + 15v = -27 + -9v + 9v Combine like terms: -9v + 9v = 0 3 + 15v = -27 + 0 3 + 15v = -27 Add '-3' to each side of the equation. 3 + -3 + 15v = -27 + -3 Combine like terms: 3 + -3 = 0 0 + 15v = -27 + -3 15v = -27 + -3 Combine like terms: -27 + -3 = -30 15v = -30 Divide each side by '15'. v = -2 Simplifying v = -2
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