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Simplifying 2a + -4d + 6d + 2a = 0 Reorder the terms: 2a + 2a + -4d + 6d = 0 Combine like terms: 2a + 2a = 4a 4a + -4d + 6d = 0 Combine like terms: -4d + 6d = 2d 4a + 2d = 0 Solving 4a + 2d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2d' to each side of the equation. 4a + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 4a + 0 = 0 + -2d 4a = 0 + -2d Remove the zero: 4a = -2d Divide each side by '4'. a = -0.5d Simplifying a = -0.5d
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