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Simplifying -9v + 1 = 7(v + 7) Reorder the terms: 1 + -9v = 7(v + 7) Reorder the terms: 1 + -9v = 7(7 + v) 1 + -9v = (7 * 7 + v * 7) 1 + -9v = (49 + 7v) Solving 1 + -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. 1 + -9v + -7v = 49 + 7v + -7v Combine like terms: -9v + -7v = -16v 1 + -16v = 49 + 7v + -7v Combine like terms: 7v + -7v = 0 1 + -16v = 49 + 0 1 + -16v = 49 Add '-1' to each side of the equation. 1 + -1 + -16v = 49 + -1 Combine like terms: 1 + -1 = 0 0 + -16v = 49 + -1 -16v = 49 + -1 Combine like terms: 49 + -1 = 48 -16v = 48 Divide each side by '-16'. v = -3 Simplifying v = -3
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