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Simplifying -7(v + 7) = 2v + 32 Reorder the terms: -7(7 + v) = 2v + 32 (7 * -7 + v * -7) = 2v + 32 (-49 + -7v) = 2v + 32 Reorder the terms: -49 + -7v = 32 + 2v Solving -49 + -7v = 32 + 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. -49 + -7v + -2v = 32 + 2v + -2v Combine like terms: -7v + -2v = -9v -49 + -9v = 32 + 2v + -2v Combine like terms: 2v + -2v = 0 -49 + -9v = 32 + 0 -49 + -9v = 32 Add '49' to each side of the equation. -49 + 49 + -9v = 32 + 49 Combine like terms: -49 + 49 = 0 0 + -9v = 32 + 49 -9v = 32 + 49 Combine like terms: 32 + 49 = 81 -9v = 81 Divide each side by '-9'. v = -9 Simplifying v = -9
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