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Simplifying 9d + 2d + -5a + 6 = 6d Reorder the terms: 6 + -5a + 9d + 2d = 6d Combine like terms: 9d + 2d = 11d 6 + -5a + 11d = 6d Solving 6 + -5a + 11d = 6d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -5a + -6 + 11d = -6 + 6d Reorder the terms: 6 + -6 + -5a + 11d = -6 + 6d Combine like terms: 6 + -6 = 0 0 + -5a + 11d = -6 + 6d -5a + 11d = -6 + 6d Add '-11d' to each side of the equation. -5a + 11d + -11d = -6 + 6d + -11d Combine like terms: 11d + -11d = 0 -5a + 0 = -6 + 6d + -11d -5a = -6 + 6d + -11d Combine like terms: 6d + -11d = -5d -5a = -6 + -5d Divide each side by '-5'. a = 1.2 + d Simplifying a = 1.2 + d
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