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Simplifying 15v + -2v + 29 = 5v + -27 Reorder the terms: 29 + 15v + -2v = 5v + -27 Combine like terms: 15v + -2v = 13v 29 + 13v = 5v + -27 Reorder the terms: 29 + 13v = -27 + 5v Solving 29 + 13v = -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. 29 + 13v + -5v = -27 + 5v + -5v Combine like terms: 13v + -5v = 8v 29 + 8v = -27 + 5v + -5v Combine like terms: 5v + -5v = 0 29 + 8v = -27 + 0 29 + 8v = -27 Add '-29' to each side of the equation. 29 + -29 + 8v = -27 + -29 Combine like terms: 29 + -29 = 0 0 + 8v = -27 + -29 8v = -27 + -29 Combine like terms: -27 + -29 = -56 8v = -56 Divide each side by '8'. v = -7 Simplifying v = -7
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