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Simplifying -2(-1d + -1a) = 3d + 14 Reorder the terms: -2(-1a + -1d) = 3d + 14 (-1a * -2 + -1d * -2) = 3d + 14 (2a + 2d) = 3d + 14 Reorder the terms: 2a + 2d = 14 + 3d Solving 2a + 2d = 14 + 3d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2d' to each side of the equation. 2a + 2d + -2d = 14 + 3d + -2d Combine like terms: 2d + -2d = 0 2a + 0 = 14 + 3d + -2d 2a = 14 + 3d + -2d Combine like terms: 3d + -2d = 1d 2a = 14 + 1d Divide each side by '2'. a = 7 + 0.5d Simplifying a = 7 + 0.5d
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