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Simplifying -9(v + -7) = 2v + -36 Reorder the terms: -9(-7 + v) = 2v + -36 (-7 * -9 + v * -9) = 2v + -36 (63 + -9v) = 2v + -36 Reorder the terms: 63 + -9v = -36 + 2v Solving 63 + -9v = -36 + 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. 63 + -9v + -2v = -36 + 2v + -2v Combine like terms: -9v + -2v = -11v 63 + -11v = -36 + 2v + -2v Combine like terms: 2v + -2v = 0 63 + -11v = -36 + 0 63 + -11v = -36 Add '-63' to each side of the equation. 63 + -63 + -11v = -36 + -63 Combine like terms: 63 + -63 = 0 0 + -11v = -36 + -63 -11v = -36 + -63 Combine like terms: -36 + -63 = -99 -11v = -99 Divide each side by '-11'. v = 9 Simplifying v = 9
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