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Simplifying -8(-3.9v + -0.43) = 17.5v + 12.86 + 14.3v Reorder the terms: -8(-0.43 + -3.9v) = 17.5v + 12.86 + 14.3v (-0.43 * -8 + -3.9v * -8) = 17.5v + 12.86 + 14.3v (3.44 + 31.2v) = 17.5v + 12.86 + 14.3v Reorder the terms: 3.44 + 31.2v = 12.86 + 17.5v + 14.3v Combine like terms: 17.5v + 14.3v = 31.8v 3.44 + 31.2v = 12.86 + 31.8v Solving 3.44 + 31.2v = 12.86 + 31.8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-31.8v' to each side of the equation. 3.44 + 31.2v + -31.8v = 12.86 + 31.8v + -31.8v Combine like terms: 31.2v + -31.8v = -0.6v 3.44 + -0.6v = 12.86 + 31.8v + -31.8v Combine like terms: 31.8v + -31.8v = 0.0 3.44 + -0.6v = 12.86 + 0.0 3.44 + -0.6v = 12.86 Add '-3.44' to each side of the equation. 3.44 + -3.44 + -0.6v = 12.86 + -3.44 Combine like terms: 3.44 + -3.44 = 0.00 0.00 + -0.6v = 12.86 + -3.44 -0.6v = 12.86 + -3.44 Combine like terms: 12.86 + -3.44 = 9.42 -0.6v = 9.42 Divide each side by '-0.6'. v = -15.7 Simplifying v = -15.7
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