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Simplifying v + -9 + 12v + 15 = -5v + -10 Reorder the terms: -9 + 15 + v + 12v = -5v + -10 Combine like terms: -9 + 15 = 6 6 + v + 12v = -5v + -10 Combine like terms: v + 12v = 13v 6 + 13v = -5v + -10 Reorder the terms: 6 + 13v = -10 + -5v Solving 6 + 13v = -10 + -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. 6 + 13v + 5v = -10 + -5v + 5v Combine like terms: 13v + 5v = 18v 6 + 18v = -10 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 18v = -10 + 0 6 + 18v = -10 Add '-6' to each side of the equation. 6 + -6 + 18v = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 18v = -10 + -6 18v = -10 + -6 Combine like terms: -10 + -6 = -16 18v = -16 Divide each side by '18'. v = -0.8888888889 Simplifying v = -0.8888888889
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