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Simplifying 2a + 3b + 5c + 6d = 0 Solving 2a + 3b + 5c + 6d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 2a + 3b + 5c + -3b + 6d = 0 + -3b Reorder the terms: 2a + 3b + -3b + 5c + 6d = 0 + -3b Combine like terms: 3b + -3b = 0 2a + 0 + 5c + 6d = 0 + -3b 2a + 5c + 6d = 0 + -3b Remove the zero: 2a + 5c + 6d = -3b Add '-5c' to each side of the equation. 2a + 5c + -5c + 6d = -3b + -5c Combine like terms: 5c + -5c = 0 2a + 0 + 6d = -3b + -5c 2a + 6d = -3b + -5c Add '-6d' to each side of the equation. 2a + 6d + -6d = -3b + -5c + -6d Combine like terms: 6d + -6d = 0 2a + 0 = -3b + -5c + -6d 2a = -3b + -5c + -6d Divide each side by '2'. a = -1.5b + -2.5c + -3d Simplifying a = -1.5b + -2.5c + -3d
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