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Simplifying 3a + d + -2a + 5d = 0 Reorder the terms: 3a + -2a + d + 5d = 0 Combine like terms: 3a + -2a = 1a 1a + d + 5d = 0 Combine like terms: d + 5d = 6d 1a + 6d = 0 Solving 1a + 6d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6d' to each side of the equation. 1a + 6d + -6d = 0 + -6d Combine like terms: 6d + -6d = 0 1a + 0 = 0 + -6d 1a = 0 + -6d Remove the zero: 1a = -6d Divide each side by '1'. a = -6d Simplifying a = -6d
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