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Simplifying 7a + 9d + 2 = 5d + 28 Reorder the terms: 2 + 7a + 9d = 5d + 28 Reorder the terms: 2 + 7a + 9d = 28 + 5d Solving 2 + 7a + 9d = 28 + 5d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 7a + -2 + 9d = 28 + -2 + 5d Reorder the terms: 2 + -2 + 7a + 9d = 28 + -2 + 5d Combine like terms: 2 + -2 = 0 0 + 7a + 9d = 28 + -2 + 5d 7a + 9d = 28 + -2 + 5d Combine like terms: 28 + -2 = 26 7a + 9d = 26 + 5d Add '-9d' to each side of the equation. 7a + 9d + -9d = 26 + 5d + -9d Combine like terms: 9d + -9d = 0 7a + 0 = 26 + 5d + -9d 7a = 26 + 5d + -9d Combine like terms: 5d + -9d = -4d 7a = 26 + -4d Divide each side by '7'. a = 3.714285714 + -0.5714285714d Simplifying a = 3.714285714 + -0.5714285714d
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