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Simplifying -2(v + -7) = -9v + -21 Reorder the terms: -2(-7 + v) = -9v + -21 (-7 * -2 + v * -2) = -9v + -21 (14 + -2v) = -9v + -21 Reorder the terms: 14 + -2v = -21 + -9v Solving 14 + -2v = -21 + -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. 14 + -2v + 9v = -21 + -9v + 9v Combine like terms: -2v + 9v = 7v 14 + 7v = -21 + -9v + 9v Combine like terms: -9v + 9v = 0 14 + 7v = -21 + 0 14 + 7v = -21 Add '-14' to each side of the equation. 14 + -14 + 7v = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7v = -21 + -14 7v = -21 + -14 Combine like terms: -21 + -14 = -35 7v = -35 Divide each side by '7'. v = -5 Simplifying v = -5
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