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Simplifying -7(v + -7) = 7v + 21 Reorder the terms: -7(-7 + v) = 7v + 21 (-7 * -7 + v * -7) = 7v + 21 (49 + -7v) = 7v + 21 Reorder the terms: 49 + -7v = 21 + 7v Solving 49 + -7v = 21 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 49 + -7v + -7v = 21 + 7v + -7v Combine like terms: -7v + -7v = -14v 49 + -14v = 21 + 7v + -7v Combine like terms: 7v + -7v = 0 49 + -14v = 21 + 0 49 + -14v = 21 Add '-49' to each side of the equation. 49 + -49 + -14v = 21 + -49 Combine like terms: 49 + -49 = 0 0 + -14v = 21 + -49 -14v = 21 + -49 Combine like terms: 21 + -49 = -28 -14v = -28 Divide each side by '-14'. v = 2 Simplifying v = 2
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