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Simplifying 3.2(2v + -5.4) = 2.5(3v + -1.2) Reorder the terms: 3.2(-5.4 + 2v) = 2.5(3v + -1.2) (-5.4 * 3.2 + 2v * 3.2) = 2.5(3v + -1.2) (-17.28 + 6.4v) = 2.5(3v + -1.2) Reorder the terms: -17.28 + 6.4v = 2.5(-1.2 + 3v) -17.28 + 6.4v = (-1.2 * 2.5 + 3v * 2.5) -17.28 + 6.4v = (-3 + 7.5v) Solving -17.28 + 6.4v = -3 + 7.5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7.5v' to each side of the equation. -17.28 + 6.4v + -7.5v = -3 + 7.5v + -7.5v Combine like terms: 6.4v + -7.5v = -1.1v -17.28 + -1.1v = -3 + 7.5v + -7.5v Combine like terms: 7.5v + -7.5v = 0.0 -17.28 + -1.1v = -3 + 0.0 -17.28 + -1.1v = -3 Add '17.28' to each side of the equation. -17.28 + 17.28 + -1.1v = -3 + 17.28 Combine like terms: -17.28 + 17.28 = 0.00 0.00 + -1.1v = -3 + 17.28 -1.1v = -3 + 17.28 Combine like terms: -3 + 17.28 = 14.28 -1.1v = 14.28 Divide each side by '-1.1'. v = -12.98181818 Simplifying v = -12.98181818
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