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Simplifying 11v + 7 = 7(v + 1) Reorder the terms: 7 + 11v = 7(v + 1) Reorder the terms: 7 + 11v = 7(1 + v) 7 + 11v = (1 * 7 + v * 7) 7 + 11v = (7 + 7v) Add '-7' to each side of the equation. 7 + -7 + 11v = 7 + -7 + 7v Combine like terms: 7 + -7 = 0 0 + 11v = 7 + -7 + 7v 11v = 7 + -7 + 7v Combine like terms: 7 + -7 = 0 11v = 0 + 7v 11v = 7v Solving 11v = 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. 11v + -7v = 7v + -7v Combine like terms: 11v + -7v = 4v 4v = 7v + -7v Combine like terms: 7v + -7v = 0 4v = 0 Divide each side by '4'. v = 0 Simplifying v = 0
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