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Simplifying 0.6(8 + -5v) + 0.4 = v + 1.2 (8 * 0.6 + -5v * 0.6) + 0.4 = v + 1.2 (4.8 + -3v) + 0.4 = v + 1.2 Reorder the terms: 4.8 + 0.4 + -3v = v + 1.2 Combine like terms: 4.8 + 0.4 = 5.2 5.2 + -3v = v + 1.2 Reorder the terms: 5.2 + -3v = 1.2 + v Solving 5.2 + -3v = 1.2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 5.2 + -3v + -1v = 1.2 + v + -1v Combine like terms: -3v + -1v = -4v 5.2 + -4v = 1.2 + v + -1v Combine like terms: v + -1v = 0 5.2 + -4v = 1.2 + 0 5.2 + -4v = 1.2 Add '-5.2' to each side of the equation. 5.2 + -5.2 + -4v = 1.2 + -5.2 Combine like terms: 5.2 + -5.2 = 0.0 0.0 + -4v = 1.2 + -5.2 -4v = 1.2 + -5.2 Combine like terms: 1.2 + -5.2 = -4 -4v = -4 Divide each side by '-4'. v = 1 Simplifying v = 1
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