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Simplifying 8(4 + v) + 34v = 14v (4 * 8 + v * 8) + 34v = 14v (32 + 8v) + 34v = 14v Combine like terms: 8v + 34v = 42v 32 + 42v = 14v Solving 32 + 42v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 32 + 42v + -14v = 14v + -14v Combine like terms: 42v + -14v = 28v 32 + 28v = 14v + -14v Combine like terms: 14v + -14v = 0 32 + 28v = 0 Add '-32' to each side of the equation. 32 + -32 + 28v = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 28v = 0 + -32 28v = 0 + -32 Combine like terms: 0 + -32 = -32 28v = -32 Divide each side by '28'. v = -1.142857143 Simplifying v = -1.142857143
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