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Simplifying -9(v + 3) = -2v + 15 Reorder the terms: -9(3 + v) = -2v + 15 (3 * -9 + v * -9) = -2v + 15 (-27 + -9v) = -2v + 15 Reorder the terms: -27 + -9v = 15 + -2v Solving -27 + -9v = 15 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -27 + -9v + 2v = 15 + -2v + 2v Combine like terms: -9v + 2v = -7v -27 + -7v = 15 + -2v + 2v Combine like terms: -2v + 2v = 0 -27 + -7v = 15 + 0 -27 + -7v = 15 Add '27' to each side of the equation. -27 + 27 + -7v = 15 + 27 Combine like terms: -27 + 27 = 0 0 + -7v = 15 + 27 -7v = 15 + 27 Combine like terms: 15 + 27 = 42 -7v = 42 Divide each side by '-7'. v = -6 Simplifying v = -6
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