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Simplifying 15 + -2v + 29 = 5v + -27 Reorder the terms: 15 + 29 + -2v = 5v + -27 Combine like terms: 15 + 29 = 44 44 + -2v = 5v + -27 Reorder the terms: 44 + -2v = -27 + 5v Solving 44 + -2v = -27 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 44 + -2v + -5v = -27 + 5v + -5v Combine like terms: -2v + -5v = -7v 44 + -7v = -27 + 5v + -5v Combine like terms: 5v + -5v = 0 44 + -7v = -27 + 0 44 + -7v = -27 Add '-44' to each side of the equation. 44 + -44 + -7v = -27 + -44 Combine like terms: 44 + -44 = 0 0 + -7v = -27 + -44 -7v = -27 + -44 Combine like terms: -27 + -44 = -71 -7v = -71 Divide each side by '-7'. v = 10.14285714 Simplifying v = 10.14285714
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