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Simplifying -7(v + -7) = 9v + 1 Reorder the terms: -7(-7 + v) = 9v + 1 (-7 * -7 + v * -7) = 9v + 1 (49 + -7v) = 9v + 1 Reorder the terms: 49 + -7v = 1 + 9v Solving 49 + -7v = 1 + 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. 49 + -7v + -9v = 1 + 9v + -9v Combine like terms: -7v + -9v = -16v 49 + -16v = 1 + 9v + -9v Combine like terms: 9v + -9v = 0 49 + -16v = 1 + 0 49 + -16v = 1 Add '-49' to each side of the equation. 49 + -49 + -16v = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -16v = 1 + -49 -16v = 1 + -49 Combine like terms: 1 + -49 = -48 -16v = -48 Divide each side by '-16'. v = 3 Simplifying v = 3
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