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Simplifying 7a + 2d + 5 + -5a + 9b + -1 = 0 Reorder the terms: 5 + -1 + 7a + -5a + 9b + 2d = 0 Combine like terms: 5 + -1 = 4 4 + 7a + -5a + 9b + 2d = 0 Combine like terms: 7a + -5a = 2a 4 + 2a + 9b + 2d = 0 Solving 4 + 2a + 9b + 2d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2a + 9b + -4 + 2d = 0 + -4 Reorder the terms: 4 + -4 + 2a + 9b + 2d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2a + 9b + 2d = 0 + -4 2a + 9b + 2d = 0 + -4 Combine like terms: 0 + -4 = -4 2a + 9b + 2d = -4 Add '-9b' to each side of the equation. 2a + 9b + -9b + 2d = -4 + -9b Combine like terms: 9b + -9b = 0 2a + 0 + 2d = -4 + -9b 2a + 2d = -4 + -9b Add '-2d' to each side of the equation. 2a + 2d + -2d = -4 + -9b + -2d Combine like terms: 2d + -2d = 0 2a + 0 = -4 + -9b + -2d 2a = -4 + -9b + -2d Divide each side by '2'. a = -2 + -4.5b + -1d Simplifying a = -2 + -4.5b + -1d
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