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Simplifying -7 + 7(v + 7) = 91 Reorder the terms: -7 + 7(7 + v) = 91 -7 + (7 * 7 + v * 7) = 91 -7 + (49 + 7v) = 91 Combine like terms: -7 + 49 = 42 42 + 7v = 91 Solving 42 + 7v = 91 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 7v = 91 + -42 Combine like terms: 42 + -42 = 0 0 + 7v = 91 + -42 7v = 91 + -42 Combine like terms: 91 + -42 = 49 7v = 49 Divide each side by '7'. v = 7 Simplifying v = 7
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