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Simplifying (25a + 9d) + -1(10a + -5d) = 0 Remove parenthesis around (25a + 9d) 25a + 9d + -1(10a + -5d) = 0 25a + 9d + (10a * -1 + -5d * -1) = 0 25a + 9d + (-10a + 5d) = 0 Reorder the terms: 25a + -10a + 9d + 5d = 0 Combine like terms: 25a + -10a = 15a 15a + 9d + 5d = 0 Combine like terms: 9d + 5d = 14d 15a + 14d = 0 Solving 15a + 14d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14d' to each side of the equation. 15a + 14d + -14d = 0 + -14d Combine like terms: 14d + -14d = 0 15a + 0 = 0 + -14d 15a = 0 + -14d Remove the zero: 15a = -14d Divide each side by '15'. a = -0.9333333333d Simplifying a = -0.9333333333d
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