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Simplifying 2.4(v + -1.4) = 3.6(-1v + 2.8) Reorder the terms: 2.4(-1.4 + v) = 3.6(-1v + 2.8) (-1.4 * 2.4 + v * 2.4) = 3.6(-1v + 2.8) (-3.36 + 2.4v) = 3.6(-1v + 2.8) Reorder the terms: -3.36 + 2.4v = 3.6(2.8 + -1v) -3.36 + 2.4v = (2.8 * 3.6 + -1v * 3.6) -3.36 + 2.4v = (10.08 + -3.6v) Solving -3.36 + 2.4v = 10.08 + -3.6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3.6v' to each side of the equation. -3.36 + 2.4v + 3.6v = 10.08 + -3.6v + 3.6v Combine like terms: 2.4v + 3.6v = 6v -3.36 + 6v = 10.08 + -3.6v + 3.6v Combine like terms: -3.6v + 3.6v = 0.0 -3.36 + 6v = 10.08 + 0.0 -3.36 + 6v = 10.08 Add '3.36' to each side of the equation. -3.36 + 3.36 + 6v = 10.08 + 3.36 Combine like terms: -3.36 + 3.36 = 0.00 0.00 + 6v = 10.08 + 3.36 6v = 10.08 + 3.36 Combine like terms: 10.08 + 3.36 = 13.44 6v = 13.44 Divide each side by '6'. v = 2.24 Simplifying v = 2.24
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