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Simplifying 11v + 7 + -4v = 11(v + 1) Reorder the terms: 7 + 11v + -4v = 11(v + 1) Combine like terms: 11v + -4v = 7v 7 + 7v = 11(v + 1) Reorder the terms: 7 + 7v = 11(1 + v) 7 + 7v = (1 * 11 + v * 11) 7 + 7v = (11 + 11v) Solving 7 + 7v = 11 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 7 + 7v + -11v = 11 + 11v + -11v Combine like terms: 7v + -11v = -4v 7 + -4v = 11 + 11v + -11v Combine like terms: 11v + -11v = 0 7 + -4v = 11 + 0 7 + -4v = 11 Add '-7' to each side of the equation. 7 + -7 + -4v = 11 + -7 Combine like terms: 7 + -7 = 0 0 + -4v = 11 + -7 -4v = 11 + -7 Combine like terms: 11 + -7 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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