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Simplifying -2v + -6 = -9(v + 3) Reorder the terms: -6 + -2v = -9(v + 3) Reorder the terms: -6 + -2v = -9(3 + v) -6 + -2v = (3 * -9 + v * -9) -6 + -2v = (-27 + -9v) Solving -6 + -2v = -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. -6 + -2v + 9v = -27 + -9v + 9v Combine like terms: -2v + 9v = 7v -6 + 7v = -27 + -9v + 9v Combine like terms: -9v + 9v = 0 -6 + 7v = -27 + 0 -6 + 7v = -27 Add '6' to each side of the equation. -6 + 6 + 7v = -27 + 6 Combine like terms: -6 + 6 = 0 0 + 7v = -27 + 6 7v = -27 + 6 Combine like terms: -27 + 6 = -21 7v = -21 Divide each side by '7'. v = -3 Simplifying v = -3
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