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Simplifying 2a + 3d + -5a + -9d = 0 Reorder the terms: 2a + -5a + 3d + -9d = 0 Combine like terms: 2a + -5a = -3a -3a + 3d + -9d = 0 Combine like terms: 3d + -9d = -6d -3a + -6d = 0 Solving -3a + -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. -3a + -6d + 6d = 0 + 6d Combine like terms: -6d + 6d = 0 -3a + 0 = 0 + 6d -3a = 0 + 6d Remove the zero: -3a = 6d Divide each side by '-3'. a = -2d Simplifying a = -2d
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