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Simplifying -6v + 12.51 = -9.09 + 15.6 + -6.4v Reorder the terms: 12.51 + -6v = -9.09 + 15.6 + -6.4v Combine like terms: -9.09 + 15.6 = 6.51 12.51 + -6v = 6.51 + -6.4v Solving 12.51 + -6v = 6.51 + -6.4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6.4v' to each side of the equation. 12.51 + -6v + 6.4v = 6.51 + -6.4v + 6.4v Combine like terms: -6v + 6.4v = 0.4v 12.51 + 0.4v = 6.51 + -6.4v + 6.4v Combine like terms: -6.4v + 6.4v = 0.0 12.51 + 0.4v = 6.51 + 0.0 12.51 + 0.4v = 6.51 Add '-12.51' to each side of the equation. 12.51 + -12.51 + 0.4v = 6.51 + -12.51 Combine like terms: 12.51 + -12.51 = 0.00 0.00 + 0.4v = 6.51 + -12.51 0.4v = 6.51 + -12.51 Combine like terms: 6.51 + -12.51 = -6 0.4v = -6 Divide each side by '0.4'. v = -15 Simplifying v = -15
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