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Simplifying 7(3 + v) + 34v = 15v (3 * 7 + v * 7) + 34v = 15v (21 + 7v) + 34v = 15v Combine like terms: 7v + 34v = 41v 21 + 41v = 15v Solving 21 + 41v = 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 21 + 41v + -15v = 15v + -15v Combine like terms: 41v + -15v = 26v 21 + 26v = 15v + -15v Combine like terms: 15v + -15v = 0 21 + 26v = 0 Add '-21' to each side of the equation. 21 + -21 + 26v = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 26v = 0 + -21 26v = 0 + -21 Combine like terms: 0 + -21 = -21 26v = -21 Divide each side by '26'. v = -0.8076923077 Simplifying v = -0.8076923077
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