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Simplifying 4(3 + v) + 34v = 13v (3 * 4 + v * 4) + 34v = 13v (12 + 4v) + 34v = 13v Combine like terms: 4v + 34v = 38v 12 + 38v = 13v Solving 12 + 38v = 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. 12 + 38v + -13v = 13v + -13v Combine like terms: 38v + -13v = 25v 12 + 25v = 13v + -13v Combine like terms: 13v + -13v = 0 12 + 25v = 0 Add '-12' to each side of the equation. 12 + -12 + 25v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 25v = 0 + -12 25v = 0 + -12 Combine like terms: 0 + -12 = -12 25v = -12 Divide each side by '25'. v = -0.48 Simplifying v = -0.48
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