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Simplifying v + -1a = 3a + -1v Reorder the terms: -1a + v = 3a + -1v Solving -1a + v = 3a + -1v Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -1a + -3a + v = 3a + -3a + -1v Combine like terms: -1a + -3a = -4a -4a + v = 3a + -3a + -1v Combine like terms: 3a + -3a = 0 -4a + v = 0 + -1v -4a + v = -1v Add '-1v' to each side of the equation. -4a + v + -1v = -1v + -1v Combine like terms: v + -1v = 0 -4a + 0 = -1v + -1v -4a = -1v + -1v Combine like terms: -1v + -1v = -2v -4a = -2v Divide each side by '-4'. a = 0.5v Simplifying a = 0.5v
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