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Simplifying 7(2 + v) + 34v = 13v (2 * 7 + v * 7) + 34v = 13v (14 + 7v) + 34v = 13v Combine like terms: 7v + 34v = 41v 14 + 41v = 13v Solving 14 + 41v = 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 14 + 41v + -13v = 13v + -13v Combine like terms: 41v + -13v = 28v 14 + 28v = 13v + -13v Combine like terms: 13v + -13v = 0 14 + 28v = 0 Add '-14' to each side of the equation. 14 + -14 + 28v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 28v = 0 + -14 28v = 0 + -14 Combine like terms: 0 + -14 = -14 28v = -14 Divide each side by '28'. v = -0.5 Simplifying v = -0.5
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