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Simplifying 4(3 + v) + 35 = 11v (3 * 4 + v * 4) + 35 = 11v (12 + 4v) + 35 = 11v Reorder the terms: 12 + 35 + 4v = 11v Combine like terms: 12 + 35 = 47 47 + 4v = 11v Solving 47 + 4v = 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. 47 + 4v + -11v = 11v + -11v Combine like terms: 4v + -11v = -7v 47 + -7v = 11v + -11v Combine like terms: 11v + -11v = 0 47 + -7v = 0 Add '-47' to each side of the equation. 47 + -47 + -7v = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -7v = 0 + -47 -7v = 0 + -47 Combine like terms: 0 + -47 = -47 -7v = -47 Divide each side by '-7'. v = 6.714285714 Simplifying v = 6.714285714
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