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Simplifying -9.7v + -0.4 = -12.6 + 14.7v Reorder the terms: -0.4 + -9.7v = -12.6 + 14.7v Solving -0.4 + -9.7v = -12.6 + 14.7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14.7v' to each side of the equation. -0.4 + -9.7v + -14.7v = -12.6 + 14.7v + -14.7v Combine like terms: -9.7v + -14.7v = -24.4v -0.4 + -24.4v = -12.6 + 14.7v + -14.7v Combine like terms: 14.7v + -14.7v = 0.0 -0.4 + -24.4v = -12.6 + 0.0 -0.4 + -24.4v = -12.6 Add '0.4' to each side of the equation. -0.4 + 0.4 + -24.4v = -12.6 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -24.4v = -12.6 + 0.4 -24.4v = -12.6 + 0.4 Combine like terms: -12.6 + 0.4 = -12.2 -24.4v = -12.2 Divide each side by '-24.4'. v = 0.5 Simplifying v = 0.5
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