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Simplifying (8a + 5d) + -1(3a + 3d) = 0 Remove parenthesis around (8a + 5d) 8a + 5d + -1(3a + 3d) = 0 8a + 5d + (3a * -1 + 3d * -1) = 0 8a + 5d + (-3a + -3d) = 0 Reorder the terms: 8a + -3a + 5d + -3d = 0 Combine like terms: 8a + -3a = 5a 5a + 5d + -3d = 0 Combine like terms: 5d + -3d = 2d 5a + 2d = 0 Solving 5a + 2d = 0 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. 5a + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 5a + 0 = 0 + -2d 5a = 0 + -2d Remove the zero: 5a = -2d Divide each side by '5'. a = -0.4d Simplifying a = -0.4d
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