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Simplifying 25 + 16a + -22 + 7d + -15a + 7d = 0 Reorder the terms: 25 + -22 + 16a + -15a + 7d + 7d = 0 Combine like terms: 25 + -22 = 3 3 + 16a + -15a + 7d + 7d = 0 Combine like terms: 16a + -15a = 1a 3 + 1a + 7d + 7d = 0 Combine like terms: 7d + 7d = 14d 3 + 1a + 14d = 0 Solving 3 + 1a + 14d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 1a + -3 + 14d = 0 + -3 Reorder the terms: 3 + -3 + 1a + 14d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1a + 14d = 0 + -3 1a + 14d = 0 + -3 Combine like terms: 0 + -3 = -3 1a + 14d = -3 Add '-14d' to each side of the equation. 1a + 14d + -14d = -3 + -14d Combine like terms: 14d + -14d = 0 1a + 0 = -3 + -14d 1a = -3 + -14d Divide each side by '1'. a = -3 + -14d Simplifying a = -3 + -14d
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