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Simplifying (3d + 3) + (2a + 7) = 0 Reorder the terms: (3 + 3d) + (2a + 7) = 0 Remove parenthesis around (3 + 3d) 3 + 3d + (2a + 7) = 0 Reorder the terms: 3 + 3d + (7 + 2a) = 0 Remove parenthesis around (7 + 2a) 3 + 3d + 7 + 2a = 0 Reorder the terms: 3 + 7 + 2a + 3d = 0 Combine like terms: 3 + 7 = 10 10 + 2a + 3d = 0 Solving 10 + 2a + 3d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2a + -10 + 3d = 0 + -10 Reorder the terms: 10 + -10 + 2a + 3d = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2a + 3d = 0 + -10 2a + 3d = 0 + -10 Combine like terms: 0 + -10 = -10 2a + 3d = -10 Add '-3d' to each side of the equation. 2a + 3d + -3d = -10 + -3d Combine like terms: 3d + -3d = 0 2a + 0 = -10 + -3d 2a = -10 + -3d Divide each side by '2'. a = -5 + -1.5d Simplifying a = -5 + -1.5d
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