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Simplifying 9d + 2a + -1(-6a) + 3d + -15d = 0 Remove parenthesis around (-6a) 9d + 2a + -1 * -6a + 3d + -15d = 0 Multiply -1 * -6 9d + 2a + 6a + 3d + -15d = 0 Reorder the terms: 2a + 6a + 9d + 3d + -15d = 0 Combine like terms: 2a + 6a = 8a 8a + 9d + 3d + -15d = 0 Combine like terms: 9d + 3d = 12d 8a + 12d + -15d = 0 Combine like terms: 12d + -15d = -3d 8a + -3d = 0 Solving 8a + -3d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3d' to each side of the equation. 8a + -3d + 3d = 0 + 3d Combine like terms: -3d + 3d = 0 8a + 0 = 0 + 3d 8a = 0 + 3d Remove the zero: 8a = 3d Divide each side by '8'. a = 0.375d Simplifying a = 0.375d
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