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Simplifying -9v + 29 = -7(v + -7) Reorder the terms: 29 + -9v = -7(v + -7) Reorder the terms: 29 + -9v = -7(-7 + v) 29 + -9v = (-7 * -7 + v * -7) 29 + -9v = (49 + -7v) Solving 29 + -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. 29 + -9v + 7v = 49 + -7v + 7v Combine like terms: -9v + 7v = -2v 29 + -2v = 49 + -7v + 7v Combine like terms: -7v + 7v = 0 29 + -2v = 49 + 0 29 + -2v = 49 Add '-29' to each side of the equation. 29 + -29 + -2v = 49 + -29 Combine like terms: 29 + -29 = 0 0 + -2v = 49 + -29 -2v = 49 + -29 Combine like terms: 49 + -29 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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