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Simplifying 5.4v + 1.29 = -6.4v + 1.8v + 8.29 Reorder the terms: 1.29 + 5.4v = -6.4v + 1.8v + 8.29 Reorder the terms: 1.29 + 5.4v = 8.29 + -6.4v + 1.8v Combine like terms: -6.4v + 1.8v = -4.6v 1.29 + 5.4v = 8.29 + -4.6v Solving 1.29 + 5.4v = 8.29 + -4.6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4.6v' to each side of the equation. 1.29 + 5.4v + 4.6v = 8.29 + -4.6v + 4.6v Combine like terms: 5.4v + 4.6v = 10v 1.29 + 10v = 8.29 + -4.6v + 4.6v Combine like terms: -4.6v + 4.6v = 0.0 1.29 + 10v = 8.29 + 0.0 1.29 + 10v = 8.29 Add '-1.29' to each side of the equation. 1.29 + -1.29 + 10v = 8.29 + -1.29 Combine like terms: 1.29 + -1.29 = 0.00 0.00 + 10v = 8.29 + -1.29 10v = 8.29 + -1.29 Combine like terms: 8.29 + -1.29 = 7 10v = 7 Divide each side by '10'. v = 0.7 Simplifying v = 0.7
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