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Simplifying 1.5x + -0.9v + 2.1 = 4.5 Reorder the terms: 2.1 + -0.9v + 1.5x = 4.5 Solving 2.1 + -0.9v + 1.5x = 4.5 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -0.9v + -2.1 + 1.5x = 4.5 + -2.1 Reorder the terms: 2.1 + -2.1 + -0.9v + 1.5x = 4.5 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.9v + 1.5x = 4.5 + -2.1 -0.9v + 1.5x = 4.5 + -2.1 Combine like terms: 4.5 + -2.1 = 2.4 -0.9v + 1.5x = 2.4 Add '-1.5x' to each side of the equation. -0.9v + 1.5x + -1.5x = 2.4 + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -0.9v + 0.0 = 2.4 + -1.5x -0.9v = 2.4 + -1.5x Divide each side by '-0.9'. v = -2.666666667 + 1.666666667x Simplifying v = -2.666666667 + 1.666666667x
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