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Simplifying 2a + 7d = 5d + 15 Reorder the terms: 2a + 7d = 15 + 5d Solving 2a + 7d = 15 + 5d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7d' to each side of the equation. 2a + 7d + -7d = 15 + 5d + -7d Combine like terms: 7d + -7d = 0 2a + 0 = 15 + 5d + -7d 2a = 15 + 5d + -7d Combine like terms: 5d + -7d = -2d 2a = 15 + -2d Divide each side by '2'. a = 7.5 + -1d Simplifying a = 7.5 + -1d
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