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Simplifying 2d + 1 + d + 1 + d + 7 = a + 7 Reorder the terms: 1 + 1 + 7 + 2d + d + d = a + 7 Combine like terms: 1 + 1 = 2 2 + 7 + 2d + d + d = a + 7 Combine like terms: 2 + 7 = 9 9 + 2d + d + d = a + 7 Combine like terms: 2d + d = 3d 9 + 3d + d = a + 7 Combine like terms: 3d + d = 4d 9 + 4d = a + 7 Reorder the terms: 9 + 4d = 7 + a Solving 9 + 4d = 7 + a Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4d = 7 + -9 + a Combine like terms: 9 + -9 = 0 0 + 4d = 7 + -9 + a 4d = 7 + -9 + a Combine like terms: 7 + -9 = -2 4d = -2 + a Divide each side by '4'. d = -0.5 + 0.25a Simplifying d = -0.5 + 0.25a
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