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Simplifying 3(4.5 + -1.2v) = -8.3v + 6.8 + 3.7v (4.5 * 3 + -1.2v * 3) = -8.3v + 6.8 + 3.7v (13.5 + -3.6v) = -8.3v + 6.8 + 3.7v Reorder the terms: 13.5 + -3.6v = 6.8 + -8.3v + 3.7v Combine like terms: -8.3v + 3.7v = -4.6v 13.5 + -3.6v = 6.8 + -4.6v Solving 13.5 + -3.6v = 6.8 + -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. 13.5 + -3.6v + 4.6v = 6.8 + -4.6v + 4.6v Combine like terms: -3.6v + 4.6v = 1v 13.5 + 1v = 6.8 + -4.6v + 4.6v Combine like terms: -4.6v + 4.6v = 0.0 13.5 + 1v = 6.8 + 0.0 13.5 + 1v = 6.8 Add '-13.5' to each side of the equation. 13.5 + -13.5 + 1v = 6.8 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 1v = 6.8 + -13.5 1v = 6.8 + -13.5 Combine like terms: 6.8 + -13.5 = -6.7 1v = -6.7 Divide each side by '1'. v = -6.7 Simplifying v = -6.7
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