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Simplifying -2v + 49 = -9(v + -7) Reorder the terms: 49 + -2v = -9(v + -7) Reorder the terms: 49 + -2v = -9(-7 + v) 49 + -2v = (-7 * -9 + v * -9) 49 + -2v = (63 + -9v) Solving 49 + -2v = 63 + -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 + -2v + 9v = 63 + -9v + 9v Combine like terms: -2v + 9v = 7v 49 + 7v = 63 + -9v + 9v Combine like terms: -9v + 9v = 0 49 + 7v = 63 + 0 49 + 7v = 63 Add '-49' to each side of the equation. 49 + -49 + 7v = 63 + -49 Combine like terms: 49 + -49 = 0 0 + 7v = 63 + -49 7v = 63 + -49 Combine like terms: 63 + -49 = 14 7v = 14 Divide each side by '7'. v = 2 Simplifying v = 2
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