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Simplifying 4(3 + v) + 35v = 11v (3 * 4 + v * 4) + 35v = 11v (12 + 4v) + 35v = 11v Combine like terms: 4v + 35v = 39v 12 + 39v = 11v Solving 12 + 39v = 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. 12 + 39v + -11v = 11v + -11v Combine like terms: 39v + -11v = 28v 12 + 28v = 11v + -11v Combine like terms: 11v + -11v = 0 12 + 28v = 0 Add '-12' to each side of the equation. 12 + -12 + 28v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 28v = 0 + -12 28v = 0 + -12 Combine like terms: 0 + -12 = -12 28v = -12 Divide each side by '28'. v = -0.4285714286 Simplifying v = -0.4285714286
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