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Simplifying -9v + 45 = -7(v + -7) Reorder the terms: 45 + -9v = -7(v + -7) Reorder the terms: 45 + -9v = -7(-7 + v) 45 + -9v = (-7 * -7 + v * -7) 45 + -9v = (49 + -7v) Solving 45 + -9v = 49 + -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. 45 + -9v + 7v = 49 + -7v + 7v Combine like terms: -9v + 7v = -2v 45 + -2v = 49 + -7v + 7v Combine like terms: -7v + 7v = 0 45 + -2v = 49 + 0 45 + -2v = 49 Add '-45' to each side of the equation. 45 + -45 + -2v = 49 + -45 Combine like terms: 45 + -45 = 0 0 + -2v = 49 + -45 -2v = 49 + -45 Combine like terms: 49 + -45 = 4 -2v = 4 Divide each side by '-2'. v = -2 Simplifying v = -2
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