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Simplifying 3x + 2(1 + -1v) = 7 3x + (1 * 2 + -1v * 2) = 7 3x + (2 + -2v) = 7 Reorder the terms: 2 + -2v + 3x = 7 Solving 2 + -2v + 3x = 7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2v + -2 + 3x = 7 + -2 Reorder the terms: 2 + -2 + -2v + 3x = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -2v + 3x = 7 + -2 -2v + 3x = 7 + -2 Combine like terms: 7 + -2 = 5 -2v + 3x = 5 Add '-3x' to each side of the equation. -2v + 3x + -3x = 5 + -3x Combine like terms: 3x + -3x = 0 -2v + 0 = 5 + -3x -2v = 5 + -3x Divide each side by '-2'. v = -2.5 + 1.5x Simplifying v = -2.5 + 1.5x
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