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Simplifying 2 = 4v + 7(v + 5) Reorder the terms: 2 = 4v + 7(5 + v) 2 = 4v + (5 * 7 + v * 7) 2 = 4v + (35 + 7v) Reorder the terms: 2 = 35 + 4v + 7v Combine like terms: 4v + 7v = 11v 2 = 35 + 11v Solving 2 = 35 + 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. 2 + -11v = 35 + 11v + -11v Combine like terms: 11v + -11v = 0 2 + -11v = 35 + 0 2 + -11v = 35 Add '-2' to each side of the equation. 2 + -2 + -11v = 35 + -2 Combine like terms: 2 + -2 = 0 0 + -11v = 35 + -2 -11v = 35 + -2 Combine like terms: 35 + -2 = 33 -11v = 33 Divide each side by '-11'. v = -3 Simplifying v = -3
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