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Simplifying 7a + -2v + 3w + 3v + -2a = 0 Reorder the terms: 7a + -2a + -2v + 3v + 3w = 0 Combine like terms: 7a + -2a = 5a 5a + -2v + 3v + 3w = 0 Combine like terms: -2v + 3v = 1v 5a + 1v + 3w = 0 Solving 5a + 1v + 3w = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1v' to each side of the equation. 5a + 1v + -1v + 3w = 0 + -1v Combine like terms: 1v + -1v = 0 5a + 0 + 3w = 0 + -1v 5a + 3w = 0 + -1v Remove the zero: 5a + 3w = -1v Add '-3w' to each side of the equation. 5a + 3w + -3w = -1v + -3w Combine like terms: 3w + -3w = 0 5a + 0 = -1v + -3w 5a = -1v + -3w Divide each side by '5'. a = -0.2v + -0.6w Simplifying a = -0.2v + -0.6w
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